Barbee also had a game-high seven steals and six assists. Erika Ford and Tiaria Griffin each added 14 points.
Georgia (8-0) has a 16-game winning streak against Georgia State (2-6), dating back to 1982.
Georgia State led 51-44 with 12:11 remaining after a Kendra Long 3-pointer. Long scored 22 points, but did not score after the 3-pointer. Georgia tied the game at 53 on a pair of Krista Donald free throws. Griffin followed with a basket to give the Lady Bulldogs the lead for good, 53-51.
Georgia State is coached by Sharon Baldwin-Tener, who played for Georgia from 1988-90, and was a Lady Bulldog assistant coach from 1992-1998.