Originally from Perth, Western Australia, Brazier graduated from the National Institute of Dramatic Art (NIDA) in 1998. In between acting engagements, Brazier often heads home to spend time with her parents in Perth.
She appeared in the film clip for Silverchair's 1999 song "Emotion Sickness".
Her theatre roles include The Merchant of Venice, Julius Caesar and Antony and Cleopatra for the Bell Shakespeare Company, Whale Music at Darlinghurst Theatre, and Speed-the-Plow for Perth Theatre Company. In 2012 she won Best Actress in a Leading Role in an Independent Production for I Want To Sleep With Tom Stoppard (Sydney Theatre Awards).
