Cornell (4-3, 2-2 Ivy League) pulled ahead 34-28 on Silas Nocita's 2-yard run, but Wells missed the extra point attempt.
Quinn Epperly's touchdown pass gave the Tigers (4-3, 3-1) a 35-34 lead with 8:49 left in the fourth quarter. The Tigers were trying to run out the clock when Cornell's Brian Gee forced Dre Nelson's fumble, recovered by Tre' Minor.
Cornell amassed 566 yards to Princeton's 549, but the Tigers turned the ball over four times, two of which ended its final two drives in the fourth quarter.
SEC Network visits Knoxville to delve into Tennessee's '25 points' mantra, which represents the combined difference in the Vols' previous five losses.
SEC Network's Dari Nowkhah and Greg McElroy talk life and football with Tennessee's Butch Jones at the head coach's favorite Knoxville staple.
How the hardships of picking oranges and tomatoes in the fields of Florida delivered Clemson star Mackensie Alexander to the NFL's doorstep.
SEC Network's Maria Taylor, Marcus Spears and Kevin Weidl discuss the fit for QB Brandon Allen at Jacksonville and RB Jonathan Williams at Buffalo.
SEC Network's Maria Taylor, Marcus Spears and Kevin Weidl discuss the former Mississippi State QB's potential with the Cowboys.
SEC Network's Marcus Spears and Kevin Weidl discuss the SEC players that will have the biggest overall impact in the NFL.