Jessica Pike scored a game-high 23 points for Oakland, which dropped an eight-point decision to Auburn last week.
The clash of styles - Georgia's starting five featured three players 6-3 or taller while the Grizzlies' included no one over 5-11 - resulted in two very different halves of basketball.
Oakland out-rebounded the Lady Bulldogs 27-15 and connected on 12-of-18 free throws in the opening period en route to a 32-27 lead at the break.
In the second half, Darrah, Humphrey and Robinson helped Georgia dominate the boards, 30-13.
"We ended up winning because of rebounds, which is good because I thought they also had a really good rebounding team," Andy Landers said. "We had three kids with double-digit rebounds tonight - Megan and Tasha and Angel. I really thought that won the game for us - just pulling down offensive boards."
Oakland raced to a 6-0 lead scoring in transition while Georgia misfired on the offensive end. The Lady Bulldogs missed their first six shots before Darrah finally canned a three with 17:36 left in the half.
The Grizzlies pushed the margin to 10 points at 17-7 with 13:57 remaining in the period. Georgia sliced that margin to four before Oakland built its largest advantage of the stanza at 29-16. The Lady Bulldogs finished the half with a 6-1 run to pull within five, the closest they'd been in more than 10 minutes.
Georgia started the second half just as strong, with a three-point play from Robinson and a three-pointer from Humphrey giving the Lady Bulldogs their first lead at 33-32 with 18:24 remaining. There were five ties and six more lead changes before Georgia finally inched away.
The Lady Dogs never trailed following a steal and jumper from freshman Angela Puleo that made it 46-45 with 11:19 left, but Oakland tied the game on a three-point play by Melissa Jeltema with 4:40 remaining.
A layup by Humphrey on Georgia's ensuing possession sparked a 9-0 over the next 3:04.
"They were very well coached," Landers said. "You could see that. They were well coached, they were well conditioned, they knew what they were doing - what they were supposed to do - and they really executed that very well."