Cheek scored on a sneak on the first drive of the game. Jalen Greene capped the first-half scoring on a 7-yard power run with 31 seconds to go, giving Elon a 24-9 lead. Malcolm Summers had a 21-yard scoring run early in the second quarter.
Skyler Davis accounted for all of the fourth-quarter scoring on field goals of 18 and 30 yards for Elon.
Marcus Willoughby had three sacks for Elon (3-1, 1-0 Colonial Athletic Association), which held New Hampshire to 218 total yards.
Sophomore Christian Lupoli, in place of injured senior Trevor Knight, was 16-of-27 passing for 174 yards and an interception for New Hampshire (0-4, 0-2).
Sean Coyne pulled UNH to 14-9 on a 25-yard run early in the second half, but the Wildcats' 2-point conversion attempt was no good.
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