Down 21-13 late in the fourth quarter, Davidson (0-4) was threatening on a drive starting from its own 1. Sparked by a 29-yard rush by Spencer Perry and a 47-yard pass from Jonathan Carkhuff to Tim Hines, the Wildcats got to the Blue Hose 14.
Carkhuff was sacked, then picked off by Williams, who ran 76 yards to the 6. Rouse scored one play later with 2:53 remaining.
Carkuff, who threw for two touchdowns, was intercepted earlier by LJ Perry, who ran 66 yards for a 7-0 score.
Rouse started the run of 21 unanswered points for Presbyterian (2-3), capping an 85-yard drive with a 3-yard TD late in the third.
Cedric Byrd's 44-yard punt return to the Davidson 19 set up the Blue Hose's next touchdown.
Spurs legend David Robinson joins Mike and Mike to discuss his son Corey, a wide receiver for Notre Dame, who just got elected the student-body president for the university.
The Rebels beefed up their offensive line on signing day, landing the nation's No. 1 tackle in Gregory Little.
More Big Ten recruits came from Ohio and Florida than any other state in 2016, and a large majority came from the eastern schools' areas.
A peak at how Washington State coach Mike Leach keeps his players out of trouble at night.
Corey Robinson, who has caught 65 passes for 896 yards and seven TDs during his Notre Dame career, was elected as the student body president.
Will Jim Harbaugh roll Toomer's Corner when he brings Michigan down South for spring break? And might Bret Bielema go WWE with the SEC response?