Darrin Peterson, who now has 1,050 career receiving yards, was Woodrum's primary target with four receptions for 69 yards.
Liberty (1-1) was limited to just 72 yards rushing, while Norfolk State (0-2) had 159 yards rushing, but totaled just 56 passing yards.
The Spartans drove to Liberty's 18 in the first quarter but were stopped when Jacob Hagen forced a fumble that was recovered by Tyrin Holloway. Norfolk State never got past Liberty's 40 for the rest of the game.
Woodrum scored on a 7 yard run to give the Flames a 10-0 lead with 6:39 left in the second. Woodrum passed to D.J. Abnar from the 22 for the final score with 5:22 remaining.