Ossett Town proved to be the better side by some margin in this encounter at Church Lane on Monday night.
They dominated the opening period without creating any real chances but it took until the 20th minute for the Millers to create any sort of opening.
A cross from the left by Hopper was diverted away from the head of Kirby by the visiting centre-half Grant Allott.
The rest of the half was fairly even, if uninspiring, until Hopper won the ball and passed towards Landregan who waited as two defenders collided with each other before placing his shot into the corner of the goal to give New Mills a half-time lead.
The second half began in much the same way as the first with Ossett dominating possession although four minutes in, O’Brien’s 30-yard looping shot was not quite enough to beat Dixon in the Ossett goal.
The ball was immediately played into the Millers half and crossed to Wood who shot high over the bar.
In the 56th minute, a corner won by Town on the right was headed goalwards and cleared although the ball had crossed the line for the equaliser.
Ashley was forced to make what is becoming a trademark save when he was forced to dive full length to keep out a 30-yard shot.
Then a few minutes later he was called into action again when a free-kick from the left was tipped over for a corner kick.
However, the corner was headed on to Allott who shot between a couple of defenders into the back of the net to give Ossett the lead.
New Mills piled on the pressure for the last 15 minutes but were unable to make any of it count as they remain five points from safety.
New Mills: Ashley, Swirad, Fitton, O’Brien, Gaskin, A. Chalmers ©, Hopper (Hampson), L. Chalmers, Kirby (Douglas-Pringle), Landregan (Bozkurt), Grimshaw.
Unused Subs: Moss, Welsby.