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.