The lawsuit was filed late last month in Tuscaloosa by Sarah Grimes, who is identified as a sorority pledge sister of Kristen Saban.
The complaint doesn't mention the football coach, and court files show his daughter hasn't filed a response.
The lawsuit says Grimes and Kristen Saban were playing a drinking game with friends in August 2011. It says they got into a fight after Kristen Saban posted something on Facebook saying no one liked Grimes.
The suit says Grimes required nasal surgery and psychological help. It says Kristen Saban was required to take an anger management class.