Curran was born in Weymouth, Massachusetts and also lived in other parts of the Massachusetts area including Avon, Marstons Mills, Cape Cod, and Hingham. As a child, she took part in plays and also studied ballet, jazz and tap and the violin, as well as participating in summer theatre. At eleven years old, Curran made her screen acting debut on an episode of the sketch comedy series MADtv in 2001. She went on to guest star in the television series Drake & Josh, The Suite Life of Zack & Cody, The Suite Life on Deck, Ghost Whisperer, Criminal Minds and The Young and the Restless. In 2009, Curran was cast in her best-known role to date as Lucy Tranelli in the TNT comedy-drama series Men of a Certain Age, the daughter of Ray Romano's character. In 2011, she was nominated for a Young Artist Award for Best Performance in a TV Series (Comedy or Drama) - Supporting Young Actress, for her work in the series. The series was canceled in 2011, after two seasons. Curran also had roles in the films 13 Going on 30, Akeelah and the Bee and The Haunting Hour: Don't Think About It, The Uninvited, Legally Blondes and Dear White People. In 2012, she cast in the film Backmask, directed by Marcus Nispel. In 2013, she had a recurring role as Phoebe Daly on the ABC Family series Twisted.