Darrah, Robinson and freshman guard Brittany Carter had seven rebounds apiece. Humphrey contributed three blocked shots.
"The first thing we remember is we played them last year and it was an extremely close game (75-71), so we had total respect for Georgia Southern and what they were going to bring to the table," Georgia coach Andy Landers said. "The focus this early in the year is on getting better. One of the things we have to do to get better is to be aggressive."
Georgia took control of the game in the first half, outscoring the Eagles (1-2) 52-21.
"We just buried ourselves in the first half," Georgia Southern coach Rusty Cram said. "We got down too far and when you're playing the No. 8 team on their home floor, there aren't going to be too many comebacks. . Georgia was hot in every aspect - inside, outside, at the free throw line. We just didn't have an answer for them."
The Eagles got 16 points from Shawnda Atwood, 12 points from Ashley Melson and 11 points from Jessica Geiger.
Georgia will entertain Temple on Friday at 7 p.m.