Mellor remain in fifth spot in the Premiership just behind AFC Oldham but with games in hand.
The game almost began disastrously for Mellor when Ben Beer suffered a painful foot injury after being fouled in the first 30 seconds.
But the big defender recovered to play a vital role in a wonderful defensive display.
On five minutes Dom Simpson blazed a half chance high and wide.
Oldham missed their best chance of the game two minutes later, shooting wide from six yards.
On 20 minutes a frantic scramble in the Oldham area saw two Mellor shots blocked.
A minute later Matt Jamieson's clever free kick was headed over by Paul Swann, who nearly had his head kicked by a defender.
The game was then deadlocked as both sides cancelled each other out.
Dom Simpson on the chase
It was a game where a mistake or a piece of brilliance was going to cause the breakthrough. It came on 57 minutes when Carl Brindley found himself in space and lashed a shot inside the keeper's right hand post.
Three minutes later Danny Leibrick appeared to be brought down in the box but the referee waved away penalty shouts.
The goal had given Mellor impetus and belief and no matter how much effort Oldham showed Mellor were equal to it.
On 69 minutes an Oldham player pierced Mellor's defence on the left and ran on only to put his shot wide.
But generally Mellor were in control.
On 70 minutes Jonny Cooke replaced Dom Simpson and on 85 minutes Luke Jubb came on for Brindley.
Mellor ended the game the stronger but could not add to their lead.
Danny Leibrick threatens
Oldham under pressure
Paul Swann heads over
All eyes on the ball
The Seconds had a friendly against Moorside Rangers and won 4-1 with goals from Man of the Match Will Parry (2) and Chris Proudfoot (2).
There were good performances from Perkin, Sherwood and Robinshaw.
The Thirds stay at the top of Divisoon C after a gritty 2-1 home win against Old Strets . The biggest threat to Mellor is probably Bedians six points behind but with three games in hand. Two goal Kev Murray and Steve Baguley were joint nominees for Man of the Match.
The Fourths lost 0-2 away at second placed Staly Lions. Nathan Fitzpatrick was Mellor's star man.
There are no games next week because of Easter. But fans might be interested in a cup semi final Marple v Cherry Tree at Woodley next Sunday at 10.30am, featuring many current and ex Mellor players.