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.
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.
Burrow disappointed about Coach O leaving LSU
Joe Burrow reacts to the news that Ed Orgeron will be leaving LSU at the end of the season.
Why Orgeron's exit at LSU shouldn't be much of a surprise
Chris Low shares why LSU decided to part ways with Ed Orgeron and lists off his potential successors.
LSU's football coaching search: Who could replace Ed Orgeron?
With LSU and Ed Orgeron reaching an agreement to part ways following the season, one of the game's best jobs is now open. Could former Texas A&M and current LSU AD Scott Woodward look to reunite with Jimbo Fisher in Baton Rouge?
Cincinnati Bearcats jump to No. 2 in AP Top 25 college football poll; Purdue Boilermakers end rankings drought
Cincinnati moved up to No. 2 in The Associated Press college football poll Sunday, the first time a team from outside the traditional power conferences has been ranked that high since 2010.
AP Top 25 college football poll reaction: What's next for each ranked team?
With the release of the latest AP poll, here's what is next up for each team in the new rankings.
Bowl projections and analysis: Who moves up with Iowa Hawkeyes going down?
With Purdue knocking off No. 2 Iowa, we reshuffle our bowl matchups and break down the playoff, the most intriguing matchups and more.