Maccabi Manchester 3rds replied via Moishe Hasid, Jason Hamburger, Josh Gellman and Joe Lewis, but it still was not enough.
Oakhill boss Josh Daniels said: “It was a great game which swung one way and then another.
"Once we had pegged them back for a second time, to make it 2-2, we didn’t really look back.
"I believe our aerial ability was the difference in the end. We scored three headers and they struggled to deal with our physical dominance.
"It continues our good run in 2014. We are unbeaten this year and we want to maintain that until the end of the season."
Report by Darren Witcoop