But the Cowboys had two other drives into Montana territory ended by an interception in the end zone and a fumble on a quarterback sack — one of four sacks by the Grizzlies in the first half.
Montana took a 6-3 lead into halftime on a 26-yard TD pass from wide receiver Josh Janssen to Ryan Burke on a trick play. The extra point failed.
"When we did get down, nobody on the sideline really panicked," Wyoming defensive end Eddie Yarbrough said. "We knew our time was coming."
That time came in the third quarter when Wyoming scored both its TDs — a 5-yard run by Wick and a 58-yard run by May.
Johnson connected with Mike Ralston on a 16-yard TD pass in the fourth quarter, but the Grizzlies couldn't muster any more drives against the Cowboys defense.
"You come and play an FBS team like Wyoming or any of them and certainly want to put your kids in a position where they get an opportunity to win the game, and we did that and played very well in a lot of instances," Montana coach Mick Delaney said. "We wore down and broke down in the second half."
The game was delayed twice by lightning for a total of about an hour, but players and coaches from both teams said it didn't affect how each team performed.