The Commodores' win gave the Southeastern Conference a two-game sweep over the Atlantic Coast Conference in the Russell Athletic Shootout. Earlier Sunday, Georgia beat Florida State 70-65.
Williams scored 21 points, including the first six points of the 26-0 run, to lead Vanderbilt (17-3).
Janie Mitchell scored 14 points for Georgia Tech (11-8) in her first game since spraining her left knee on Jan. 4. Chioma Nnamaka added 13 points and Stephanie Higgs 11.
Georgia Tech opened the second half with an 18-5 run to take a 42-35 lead after trailing 30-26 at halftime.
Vanderbilt's troubles increased when point guard Dee Davis left with four fouls at the 11:58 mark.
Tech led by nine points at 46-37 before the Commodores took control. A 3-pointer and three-point play by Williams sparked the big run. Williams added another 3 in the run, which ended with two free throws by Higgs with 2:39 left.
Vanderbilt played its second game in four days in the state of Georgia, following an 83-71 loss to Georgia on Thursday.