06/05/2012 at 12:25 PM EDT
After allegedly drinking a beer and handing cops a fake ID, Scout Willis, the daughter of Demi Moore
and Bruce Willis, was charged with two misdemeanors in New York City.
The Brown University student, 20, was arrested at 6:30 p.m. Monday in Union Square for criminal impersonation and a violation of the open-container law, an NYPD spokesperson tells PEOPLE.
Willis, who's younger than the legal drinking age, was released without bail Tuesday following her arrest, reports New York's Daily News
, which broke the story.
She'll return to Manhattan Criminal Court on July 31.
An officer saw Willis, who's made her mark in the city singing with her band
, drinking an 8-ounce Pakistani beer just before 7 p.m. Monday, police confirm.
After flashing the officer a New York ID card with the name "Katherine Kelly," according to the Daily News
report, the officer continued questioning Willis.
"My name is Scout Willis," she reportedly said when she pulled out her actual California ID, according to the criminal complaint. "The first ID isn't mine. My friend gave it to me. I don't know Katherine Kelly."
This isn't the first time the celebrity daughter has made an edgy impression.
, Willis was outed as one of the voices behind a Twitter feed stocked with thoughts about sex, drugs, cigarettes and partying. However, a rep called the Twitter feed an attempt to test a theory and "illustrate how social media is utilized" as part of a college project.