Shaw Lane put pressure on Garforth from the start, but the Miners clawed their way into the game and took the lead through Nick Black (pictured) on twenty seven minutes.
Controversy surrounded the rest of the half, first when Liam Smith saw red after lunge.
Then Joe Thornton broke and scored minutes later after an apparent Shaw Lane handball.
Luke Mangham gave Garforth something to cling on to when he netted just four minutes into the second period.
However, Towns' hearts were broken when a late rally from the visitors saw them walk away with a point.