Dizzia is the daughter of Lorraine (née Bladis) and John Paul Dizzia. She was raised in Cranford, New Jersey. She has a sister who is a lawyer. She graduated from Kent Place School in 1993, receiving the Drama Award upon graduation. She studied theater at Cornell University. She received her Master of Fine Artsfrom the University of California, San Diego.
- Maria was nominated for the 2013 Drama Desk Award, Outstanding Actress in a Play.