Two second half goals from James Jennings saw the visitors take all three points back to the Midlands and condemn the Bloods to a fifth consecutive defeat.
In a game of two halves which saw Droylsden fail to capitalise on a number of chances in the first forty five Jennings took full advantage of the room given to him as the Droylsden defence crumbled and only Chris Thompson in the end prevented Market Drayton scoring more.
It could have been so different early on. After just two minutes a quick free kick by Brewster caught out the visitors defence but Liam Caddick failed to take advantage of The opportunity.
It was almost one way traffic as a succession of chances and half chances went astray, Stavros Tserpes having the best chance which saw Ballard tip his effort round the post for a corner.
Market Drayton served up a warning of what was to come in the closing minutes of the half as Jennings broke down the centre, his effort going narrowly wide.
The second half saw the visitors switch their keeper into an outfield player while manager Martyn Davies who had come on as an early sub for the injured Hartlebury went between the posts.
The Bloods shuffled their pack, Ollie Ford coming on for Harry Pratt and Faustin Makela replacing Danny Hewitt but less than a minute after second change, lost Antoine Clarke to injury with Dom smith coming on,
The forced reshuffle at the back changed the game and the visitors began to take full advantage. McClean breaking down the left into the area, his shot hitting the side netting.
With twelve minutes left Town took the lead, A Thompson save and a block on the line looked to have prevented the first goal but the rebound fell to Jennings who made no mistake.
Thompson prevented a second a minute later saving from close range from McClean but could do nothing to prevent the second goal as his defence went Awol Jennings shooting into an empty net and to cap a poor afternoon, Tserpes saw a straight red for a clumsy challenge deep into added time