The Panthers (1-1) made some great halftime adjustments and held White Oak out of the end zone until the final stanza.
Mebane finished off a 68-yard drive with the final six-yards for a touchdown.
Grace Community transfer, Zach Aldridge, nailed his first of two after-point kicks and a 28-7 count on the board.
Answered the final Gale six yard scoring jaunt when Skelton scooted around the left end for a 61-yard score. Aldridge tacked on the kick and the 35-14 final.
Mebane had 130-yards on 27 carries and scored once. Skelton totaled out with 73-yards in only four tries and the TD.
Mebane was 11 of 18 for 142 yards. Jakob Shelton made three catches for 27 yards. Drake Daly had three snags for 17.
White Oak 34, Bullard 14
White Oak 21 7 0 6 - 34
Bullard 0 0 7 7 - 14
WO: Riley Larkin 8 run, (Zach Rogers PAT good), 8:16
WO: Jason McCurdy 64 pass from Riley Gale, (Rogers kick), 7:25
WO: Gale 1 run, (Rogers kick), 5:50
WO: Larkin 11 run, (Rogers kick), 9:04
B: Connor Mebane 6 run, (Zack Aldridge kick), 1:27
WO: Gale 6 run, (kick failed), 11:42
B: Austin Skelton 61 run, (Aldridge kick), 10:39.