First-half strikes from Thomas Prais had put the Oaks in the ascendency at half-time. Modlin added a second and an own goal rounded things off.
Oakwood boss Jason Stein told JC Sport: "Thoroughly professional job from the team today. It was a must win game for us. We couldn’t afford to drop points."
“We moved the ball around really nicely. As always with us we left some goals out there but the ones we did score were all nicely taken.
“The shadowy fixture figure overlords have deemed it that we don’t have a game for a few weeks, so we’ll keep fit and prepare for the remaining three games when we do get them.”
OAKWOOD: Dean Caplin, Jordan Sherne, Ben Annis, Jake Frener, Dan King, Dan Ash, Raffi Bloom, Louie Hibbert, Sam Modlin, Thomas Prais
SCORERS: Modlin 2, Prais, own goal
FORTUNE: Lee Fegan, Philip Braham, David Brown, Daniel Ezra, Robert Jay, Adam Speck, Brett Stead, Joe Stolerman, Gab Stone, Michael Woolf, Ami Wynbourne. Sub: David Ossack