North End had already had a few shots on goal prior to Moxam’s goal - Kieran Lugsden forcing a terrific save out of the West Didsbury keeper from a header that was tipped onto the bar.
However, they did break through when Steve Yarwood cut in from the left and shot from outside of the area.
While Yarwood’s shot was blocked, Moxam reacted quickest to finish from ten yards.
Although Glossop rarely looked troubled at the back, after the goal they struggled to play with the coherence that they had the previous Saturday while the home side passed the ball around neatly, albeit with little penetration.
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That said, West Didsbury forced a flying save from Greg Hall on the stroke of half-time and in the second half did have the ball in the net from a corner, only to find the referee had blown his whistle for a foul.
North End’s best chance in the second period also came from a set-piece, Sam Hind’s header being cleared off the line and Dave Young’s follow-up just finding the wrong side of the post.