Gibbons was 6-of-12 passing for 79 yards with no interceptions and added 97 yards rushing on 23 carries.
Saxton scored on a 1-yard run to open the scoring midway through the first quarter. Norfolk State's Josh Nardone made a 31-yard field goal early in the second but Savannah State (2-5, 1-3 Mid-Eastern Athletic Conference) answered with an eight-play, 65-yard drive capped by D'Andre Snead's 4-yard touchdown reception.
Giovanni Lugo made a 44-yard field goal with four seconds left in the first half before Jaylen McCloud had a 22-yard TD catch late in the third quarter and a 2-yard scoring run with 6:38 to play. McCloud finished with 11 carries for 63 yards.
Norfolk State (3-4, 2-3) converted just 2-of-15 third downs and had 206 total yards.
Savannah State, which has won three in a row against the Spartans, set season highs with 293 yards rushing and 372 total yards.
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