Mellor had the opportunity to put Liverpool back in the lead early in the second half but Krul saved well.
A mistake between David Raven and keeper Paul Willis allowed Farman in to score the winner for the home side.
Of more concern was the injury to Danny Mannix, who hurt his foot and had to be stretchered off the field.
Team: Willis, Raven (Smith 87), Barragan, Roque, Antwi, Hobbs, Anderson, Peltier, Mellor (Calliste 71), Mannix (Idrizaj 63), Guthrie.