Shepherd took a 14-9 lead with 1:47 left in the first quarter on a 9-yard run by Jimmy Sutch.
Rams quarterback Kevin Clancy found tight end John Frick wide open in the end zone for a 17-yard scoring strike in the second quarter. Clancy passed to Nikkolai Norrell for the two-point conversion to give the Rams a 22-9 advantage.
The Rams took a 29-9 lead on a 2-yard plunge by Nate Hoyte with 7:31 left in the half.
Addison scored on a 10-yard run with 1:08 left in the half to give the Rams a 36-9 lead at the break. The score was aided by a 64-yard pass from Clancy to Neal Hardie.
The Rams added a 4-yard scoring run by Hoyte with 9:02 left in the third quarter to take a 43-9 advantage.
Lenehan teamed with Tyler McIntosh on a 15-yard scoring pass with 2:45 left in the third quarter for Seton Hill. Patrone Wood rushed for the two-point conversion run to cut the lead to 43-17.
Shepherd's Eric Dobratz nailed a 38-yard field goal with 34 seconds left in the game to complete the scoring.
Clancy completed 9 of 20 passes for 201 yards, while Lenehan was 23 of 38 for 304 yards for Seton Hill.
Hoyte added 91 yards on 15 carries for the Rams. R.J. Butler had 61 yards on 11 carries to lead Seton Hill.
Linebacker A.J. Parrish led the Rams with nine stops, including two tackles-for-loss.
Shepherd amassed 488 yards of total offense, while Seton Hill had 407.
The Rams return to action Oct. 2 when they travel to Charleston for a 1 p.m. contest.
