Demi Moore was "so proud" of her daughter's Hollywood concert on Tuesday (18.02.14).
The 51-year-old actress - who was accompanied by her boyfriend Sean Friday - appeared "mesmerised" by eldest girl Rumer Willis' performance of covers at the Sayers Club earlier this week.
A source told Us Weekly magazine: "Demi and Sean looked really comfortable with one another. It was obvious Demi wasn't there for a night out but was there simply to support her daughter.
"Demi literally couldn't take her eyes off her daughter. She looked mesmerised by Rumer's voice."
"Sean was tapping his knee along to the beat. Demi had a huge grin as she looked at the crowd admiring her daughter. She was so proud."
Rumer - whose set included covers of Free's 'All Right Now', Miley Cyrus' 'Wrecking Ball', Roberta Flack's 'Killing Me Softly' and Lesley Gore's 'You Don't Own Me' - was thrilled to have her mother and her musician boyfriend in the audience, heading straight to the table when she finished on stage.
The source continued: "Rumer looked really happy to have their support. You could tell it meant a lot to her that Demi and Sean were there."
As well as Rumer, Demi - whose divorce from third husband Ashton Kutcher was finalised last November, almost two years after they split - also has daughters Scout, 22, and Tallulah, 21, with former spouse Bruce Willis.

Ellen DeGeneres found it difficult to cope after she made the decision to come out as a lesbian.
The talk show host revealed she was gay in 1997 and even though she mainly got a positive reception for her decision, she was hurt by some people's reactions.
She said: "I didn't think it was going to be that much of a surprise. What hurt was this: Does that label, that word, change my talent, my kindness, my heart, my intention for entertaining people? The bottom line is as simple as this, my feelings were hurt. I just gave up and moved to Ojai (in California) and sat in my house as long as I could until I ran out of money. Then I started over again."
Ellen - who is married to actress Portia Di Rossi, and is one of the most powerful people on American TV - says she feels so distant from that time now it almost doesn't feel like it was her life.
She added to People magazine: "Looking back, I did feel isolated, I did feel rejected, but now I look at it as a movie that I saw that someone went through. I only experience the amazing life that I have right now."
Ellen, 56, also revealed she is not funny all the time just because she is a comedian and witty talk show host and likes to have peace and quiet when she's at home.
She said: "I'm so blessed in many ways, but I'm not always funny. I'm not always happy. I'm a human being, I don't want to be expected to be funny all the time. It's not real. I'm constantly learning and growing and trying to be better ... Talking for a living makes you really, really love peace and quiet. When I'm done for the day, I like quiet. I talk all day long, so driving home I don't' talk. I just listen to the radio ... Sometimes Portia and I sit and talk or go for a long walk with the dogs. I try to be quiet and meditative before bed."

Lorde thinks it is "cool" to be a role model.
The 17-year-old singer - who won Best International Female at the BRIT Awards last night (19.02.14) - doesn't want to "preach" to her fans, but thinks it is nice that people are interested in hearing her opinions.
She told the new issue of America's Vogue magazine: "There's a fine line between role model and preaching to people. I never want to tell anyone how they should be, especially not someone my age. But, that being said, I'm conscious of the fact that people my age are reading what I say and listening to what I say, and that's cool, particularly for the girls who are into what I do."
When it comes to her own inspirations, the 'Royals' hitmaker singled out David Bowie and Grace Jones because they have their own sense of self.
Asked whose style she admires, she said: "People like Grace Jones and David Bowie, who have a sense of themselves."
And when it comes to her own wardrobe, Lorde looks for outfits that make her feel "powerful".
She said: "The kind of clothes that I've found I like to wear over the past year and six month have all been things that make me feel powerful and strong. I wear a lot of pants I wear a lot of long structure dresses."

Kelly Clarkson's fellow 'American Idol' finalist Justin Guarini claims they had a secret relationship.
The 'Because of You' hitmaker - who is expecting her first child with husband Brandon Blackstock - won the first series of the show in 2002, and the runner-up claims they began a romance when they starred together in movie 'From Justin to Kelly' but separated when her career grew more successful while his stalled.
According to a review posted on website Mcall.com, Justin told the audience at his 'Lovesick' one-man cabaret show in Pennsylvania last week about the romance, and also with another 'Idol' contestant from his series, the fourth-placed Tamara Gray.
Justin - who has two children with wife Reina - has previously described Kelly as being "like a sister" to him.
He also said in 2012: "We've just always been such good friends. Um, man, it was weird; she was like my sister on the show, and then you know, we made a movie together. ... I'd say, we had a good time. Yeah."
And speaking around the release of 'From Justin to Kelly', the 'Stronger' singer was quick to dispel talk of a romance with her co-star.
Kelly insisted at the time: "We're like brother and sister."

Mila Kunis and Ashton Kutcher have "white T-shirt night".
The couple enjoy going on low-key dates together doing the things they "love", but enjoy hanging out at home just as much.
Asked her perfect date, the 30-year-old beauty told America's Cosmopolitan magazine "I'll tell you, we have a thing called white T-shirt night, and it's when you wear jeans and a white T-shirt and you go on a date.
"Nothing fancy, it's just something that you love to do. And whether that's bowling or dinner or going to a cheese shop and have some wine or walking around. I think that's just the best thing to do - and sometimes it's just nice to stay home."
Despite regularly topping polls because of her good looks, Mila - who has been dating the 36-year-old actor for almost two years - insists she doesn't consider herself "sexy".
When quizzed whether she considers herself to be sexy, she said:
"Oh no, no. I really don't. I don't see myself as not-sexy, it's just not [one of] the top 40 adjectives I would use to describe myself. But I do see myself as confident, but if someone sees me as sexy I'm not going to argue that and say, "No I'm not, you're crazy.' I'll just say 'Thank you' politely."

Rebekah Brooks has been cleared of paying for a photo of Prince William in a bikini.
The former News of the World and The Sun newspaper editor was acquitted of one count of conspiracy to commit misconduct in a public office after allegedly paying £4,000 to a public official for a picture of the royal dressed in the skimpy attire during a James Bond-themed party at Sandhurst.
The picture was never published but was reportedly part of an exclusive story titled 'Willy in a Bikini' for The Sun in September 2006 - at which time Brooks was editor - and was accompanied by a mocked-up image of Prince William in a green swimsuit.
After Brooks gave evidence in court on Thursday (20.02.14) Judge, Mr Justice Saunders said: "I have decided that there is no case for Ms Brooks to answer on count four. That is the charge relating to a picture of Prince William in a bikini.
"Whether or not there is a case to answer is for me to decide."
Prosecutor Andrew Edis QC had previously told the court that Brooks received an email asking to approve payment to a Sun journalist's contact who was offering the photo.
Meanwhile, a jury will decide whether the former newspaper editor is is guilty of four further offences relating to the phone-hacking trial.

Bastille's Chris 'Woody' Wood is to make his debut as a football commentator for his favourite club Plymouth Argyle.
The drummer is a lifelong fan of the League Two team and he is now
going to call the action on The Pilgrims' match against Dagenham & Redbridge on Saturday (22.02.14) for BBC Radio Devon.
The 28-year-old musician will join veteran commentator Gordon Sparks on the microphone and he can't wait for the game.
Woody said: "Having grown up going to Argyle with my family since I was a young boy, I jumped at the chance to get involved with the team and the broadcasting legend that it Gordon Sparks. This will be a dream come true."
It seems Gordon is just as excited to be working with the 'Pompeii' hitmaker.
Gordon told the BBC: "I have been fortunate enough to have managers and players alongside me, but it will be a first to have someone from the world of entertainment - especially given the popularity of Bastille. Being an Argyle fan is a bonus. I'm sure Woody will fit in well."
Woody joined his bandmates Dan Smith, Kyle Simmons and William Farquarson at the BRIT Awards in London on Wednesday night (19.02.14) where they performed with Rudimental and went home with the Best British Breakthrough Act prize.
Prior to the ceremony he was interviewed by Plymouth Argyle's YouTube channel (Youtube.com/user/argylemedia) and was presented with a difficult choice.
When asked if he'd rather win a BRIT award or have his beloved Argyle make it to the play-offs which could see them promoted to League One, he said: "Don't do that to me ... both!"
For more info on Plymouth Argyle visit Player.pafc.co.uk/home/

Liam Payne loved visiting Ghana and claims it has been his most memorable trip.
The One Direction hunk and his band mates - Harry Styles, Zayn Malik, Louis Tomlinson and Niall Horan - paid a visit to the country at the beginning of 2013 for Comic Relief and despite jetting all over the world, Liam insists it was the best.
He said: "We haven't really performed there per se, we didn't get to perform in front of loads of people, but Ghana was one of the best places, it was ace."
The band, who won the Global Success Award at the BRITs last night (19.02.14), along with Best Video for their track 'Best Song Ever', were amazed to win two gongs.
When asked how they felt, Liam replied: "I feel drunk", before swigging more wine.
He added: "This has been one of the first times we've seen each other in quite a long time, it's been nice today, to fill each other in on what we've been doing in the past few weeks, it's been ace."
Harry, 20, also thanked the band's fans and said they were "incredible" for voting for them.
Niall, 21, said: "This is our second year to win the Global Success Award, which means so much to us. Australia was my favourite country, it was great."
Louis, 22, added: "It's half to please Niall, but true, I'd say my favourite city to play in was Dublin."
After the BRITs, Liam, his girlfriend Sophia Smith, and band mates Harry and Niall went to Sony Music's after party with Belvedere Vodka at the Arts Club in London.
They were joined by Pharrell Williams, Nicole Scherzinger, and couples, Jason Statham and Rosie Huntington-Whiteley and Rita Ora and Calvin Harris.
Later on, loved-up Jason and Rosie had a dance-off with Rita and boyfriend Calvin as guests watched on.

Rudimental risked their careers to release 'Waiting All Night'.
The dance group have revealed they put their "careers on the line" to push for the song to be released after opposition from record bosses, but are happy the risk paid off after the track was named Best British Single at the BRITs last night (19.02.13).
Speaking at the ceremony, band member DJ Locksmith said: "Everyone was kind of against us putting it out there and all four of us came together and we put our careers on the line with 'Waiting All Night'. It got us through to where we are now, that's why it's such a special track for us."
Meanwhile, the electronic quartet - which also consists of producers Piers Agget, Kesi Dryden, Amir Amor - praised singer Ella Eyre, whose vocals featured on the song, and revealed the track was completed in a hotel room in Scotland whilst supporting Plan B on tour two years ago.
Piers explained: "This song, we actually finished it in a Glasgow hotel room on the Plan B tour. It's got elements of our live shows, it's a big special track for us, it came just before our album came out, it fuelled the hype, Ella did a great vocal performance on it. It came at a time when we really worked hard on tour."

Jada Pinkett Smith has been cast a villain in the Batman prequel 'Gotham' .
The 42-year-old actress will play the evil gangster, Fish Mooney, in the TV adaptation and has been described as embodying an "imposing, hotheaded and notoriously sadistic gangster boss and nightclub owner with street smarts and almost extra-sensory abilities to read people like an open book who is not one to be crossed."
The series will focus on the younger years of Jim Gordon, who will be played by 'The O.C.' actor Ben McKenzie before he was appointed police commissioner of Gotham City.
Jada will star alongside Robin Lord Taylor, who plays the orphaned outcast who works for Fish Mooney, in addition to Oswald Cobblepot, Sean Pertwee, Wayne Manor, Zabryna Guevara, Erin Richards and Donal Logue.
'CSI' director Danny Cannon is set to helm the pilot, while 'The Mentalist' creator Bruno Heller will write and executive produce.
Jada - who has two children, 15-year-old son Jaden and 13-year-old daughter Willow with Will Smith - has previously starred in 'Scream 2' and 'The Nutty Professor'.

'Coronation Street - Moving Story' is set to air next month. The hour-long documentary will follow the relocation of the soap's set from Quay Street in Manchester city centre to MediaCityUK in Salford - which is the home to ITV and BBC head offices - ...

'EastEnders' teen Cindy Williams will find herself at risk of losing her baby next week.
The youngster played by Mimi Keene is expecting a baby with TJ Spraggan (George Sargeant) but after an ill-advised drinking session with pal Liam Butcher (James Forde), Cindy will be rushed to hospital.
The teen tearaway, who was taken in by her deceased mother Cindy Beale's former husband Ian Beale (Adam Woodyatt) last year, has infuriated Ian in recent weeks with her unruly behaviour and the Walford stalwart threatens to send her away to live with her grandmother, resulting in her latest stunt.
A source told Inside Soap magazine: "Cindy's distraught at the prospect of being sent away, just as she's finally starting to make a life for herself in Albert Square. She's got her half-siblings, Lucy and Peter, there, as well as TJ. The last thing she wants is to be living with an elderly relative hundreds of miles away from her baby's father."
Tina Carter (Luisa Bradshaw-White) and Sonia Fowler (Natalie Cassidy) rush to the teen's side when she collapses after drinking with Liam.
The insider added: "This is clearly a dangerous situation for Cindy. Tina and Sonia realise there's a chance she could lose the baby - and having both been through teen pregnancies themselves, they want to be there to support her in any way they can."