Jones had four offensive series in the second half, each eating more than four minutes off the clock.
Tuttle (7-1, 3-1), which had scored at least 34 points in every game this season, totaled 272 yards, but only 22 on 10 second-half snaps.
Jones was anxious to show its toughness Friday night following a disappointing loss to No. 5 Blanchard last week.
“This was a big win for the team,” Cornwell said. “We were working all week, pounding and grinding. Our bodies were sore, but we came out in a physical game and felt the momentum and played as a team. This is a really great win for this program.”