Lions still could have scored a few themselves before the break but the Winslow goal lived a charmed life as Lions wasted their opportunities.
The visitors regrouped at the break and came out ready to mount a comeback as Mitch Hahn halved the deficit within minutes of the restart.
But this proved a false dawn as again Lions allowed Winslow to add further goals without reply which despite Lions missing even more opportunities manager Andy Landesberg put down to "one of those days".
Lions will be looking to return to winning ways, with fellow promotion challengers Enfield Borough due to visit the Lane on Saturday.
LIONS: James Harpin, Jake Rinsler, Adam Myeroff, Nick Landesberg, Adam Lipman, Jordan Marks, Max Kyte, Austin Lipman, Mitch Hahn, Adam Bolle, Adam Burchell. Subs: Charlie Rubin, Tyler Smith
SCORER: Hahn