The Reds trailed by two goals after Yemi Odubade had converted a half-cleared corner and Jamie Guy had slotted home after the interval.
However, Danny Drinkwater pulled a goal back with 35 minutes remaining. The midfielder capped an impressive display by embarking on a winding run, then racing into the box to head emphatically home.
Sam Hewson then restored parity with a fine header of his own, latching onto David Gray' right-wing cross with 13 minutes remaining.
United: Devlin, Gray, Derbyshire (Gill 83), Eckersley, Chester, C Evans (James 46), Eikrem (Dudgeon 83), Drinkwater, Macheda (Norwood 58), Hewson, King (Brandao 46).
Subs not used: Johnstone, Strickland.