Byrd scored on a 1-yard sneak five minutes into the game, then found Kerry Smith open with blown coverage for a 47-yard touchdown.
Byrd scored again from the five early in the second quarter, as he reversed his field and cut sharply into the end zone. Two minutes later, he connected with Smith again, this time on a post pattern that went 83 yards for the score.
Hayden didn't get a first down until the 6:07 mark of the second quarter, but that started off a 14-play, 70-yard drive that ended with quarterback Corey Ward diving for the pylon from three yards out with 2:20 left in the first half.
The Wildcats turned around a lackluster effort in the first half, keeping the host team from getting good field position.
Hayden found paydirt again when Ward passed to Luke Wall for a 13-yard touchdown with 7:07 to play in the game. Then, after getting excellent field position when Corner punter Troy Elliott shanked a punt for just two yards, the Wildcats took advantage of a pair of personal fouls on the Jackets. Dylan Putnam, seeing his first extended playing time as a running back, finished the drive with a 1-yard plunge up the middle.
Corner then ran out the clock, thanks in part to a face-mask penalty on the Wildcats that gave up a crucial first down.
Byrd had 11 yards on 24 rushes, and was 14-for-21 passing with an interception and 249 yards. Smith caught eight passes for 208 yards, the first 200-plus receiving effort by a Corner player since the turn of the century.
Ward was 13-for-37 in passing for 116 yards. Wall had five receptions for 67 yards, and Putnam gained 55 yards on 11 carries.
The Yellow Jackets had 408 yards total offense, compared to the Wildcats’ 186. However, Corner was penalized 16 times for 140 yards.
It’s the first win in the last seven game for Corner over its arch-rival.
Corner (2-3) hosts Oak Grove next week, while Hayden (0-5) travels to Walker.