The Cornhuskers (4-2) had watched close games slip away their first two days in the eight-team tournament and were trailing the Bulldogs 51-48 with under 10 minutes left. That's when Webster led Nebraska on a 23-13 run to close the game and avoid a 0-for-3 trip to South Carolina's coast.
Webster had seven points in the charge, including a 3-pointer with 7:44 left that put the Cornhuskers up for good.
Georgia got within a point after Marcus Thornton's basket a possession later, but Webster followed with two foul shots and the Bulldogs got no closer. Georgia opened 1-4 for the second straight season. Charles Mann scored 16 points to lead the Bulldogs.
Terran Petteway had 15 points to top Nebraska.
Georgia struggled at the foul line going 16 of 30 overall and 6 of 15 in the second half after coming in hitting more than 74 percent of its free throws. Nebraska made 22 of 27 at the foul line and Petteway and Webster combined to go 16 of 19.
Leslee Smith had eight points and 11 rebounds for the Cornhuskers.
Nebraska and Georgia both expected better results at the tournament.
The Cornhuskers were within a basket late of Massachusetts on Thursday in the tournament opener and then UAB on Friday before falling to both. They were beaten by the Minutemen 96-90 and by the Blazers 87-74.
Nebraska coach Tim Miles says his team struggled when Massachusetts and UAB took the play to the basket, something he hoped to turn around against Georgia.
The Bulldogs of the Southeastern Conference came into the eight-team event off a loss to state rival Georgia Tech and had looked to rebound in a big way at TD Arena. Instead, they struggled throughout in a 78-64 loss to giant killer Davidson.
Georgia rallied from a 13-point deficit the next game against Temple and led 81-80 with 18.8 seconds left on Mann's driving basket. But Temple's Will Cummings struck for a 3-pointer moments later in its 83-81 victory.
Bulldogs coach Mark Fox put an emphasis on defense, one his team paid attention to as the players continually chanted "defense" to their teammates on the floor against the Cornhuskers.
Nebraska built a 32-23 lead on Deverell Biggs' jumper with 3:15 to go in the opening half. That's when Georgia closed the half with an 8-2 run, fueled by Brandon Morris' four foul shots and trailed 34-31 at the break.