Manzyk ran 55 yards into the end zone in the first quarter. Horn's pick-6 from 50 yards stretched the Wildcats' lead to 20-10 at halftime.
Max Brosmer threw a 6-yard touchdown pass to Nick Lorden for New Hampshire (3-2, 2-0 Colonial Athletic Association) in the first quarter. Jason Hughes made field goals from 45 and 42 yards in the fourth.
Davis Cheek was 17 of 31 for 184 yards passing and threw four interceptions, three in the first half for Elon (2-4, 1-2). Jaylan Thomas scored on a 13-yard run that capped an 11-play, 70-yard drive early in the second quarter.
New Hampshire avenged last season's 30-9 loss against Elon, it's only defeat in six meetings since the Phoenix joined the CAA in 2014.