Stone's penalty for a foul on midfielder Jack Parker meant Dale Dempsey's side have now won four games in a row and it was the third successive match that striker Stone has converted a spot kick after a foul on Parker.
The home side had no answer to Oldland's display and visiting keeper Josh Dempsey had one of his quieter days in clocking up his ninth clean sheet of the season.
The O's now entertain Westbury United this coming Wednesday night, kick off at 7.30pm.