Bruce and Demi's Co-Parenting Troubles: Which Willis Girl Got Caught Up?

If your child is going to get in trouble and you have to pull out the "first + middle + last name" scolding, let it at least be a cool name like “Tallulah Belle Willis.” Or should we say "Lula Belle Willis"?

Demi Moore and Bruce Willis got a chance to team up for parenting duties last weekend when 17-year old daughter Tallulah (aka Lula) was caught up in an underage drinking situation.

According to TMZ, Tallulah and two other underage girls were nabbed by cops in Hollywood on Friday after stepping out of a car with alcohol in hand.

Moore apparently picked Tallulah up after the parents were notified by the police. Back when Tallulah was 15, she was caught with wine and cigarettes at her sister Scout’s birthday festivities.

In 2007 on "The David Letterman Show," Willis claimed his daughter was planning on getting her name changed.

"She wanted me to mention here on the big show that she's legally changing her name from Talullah to Lula, just Lula. She doesn't like her name," said Willis.

At the time, Willis, Demi Moore and Ashton Kutcher agreed to let her go through with the plans. WIllis said he understood where she was coming from.

"I didn't care for own my name," said Willis.

"Especially after my father told me that he named me after Bruce Wayne, Playboy millionaire."

Strangely, the couple's other daughter, actress Rumer Willis (who in 2010 was reportedly dating "Glee" star Chord Overstreet), has not had a similar reaction.