In a terrible spectacle of a first half, neither side got to grips with the icy conditions but the visitors took the lead shortly after the half-hour mark with the game’s first attack.
Craig Alcock’s cross was chested down by Dean Bowditch into the path of strike partner Sam Williams who sent a low volley across Scott Flinders into the far side of the net.
Shaun Macdonald forced a smart save from Flinders on 46 minutes, before visiting keeper Alex McCarthy came into his own as he twice in the space of five minutes denied Adam Boyd.
But McCarthy was beaten on 67 minutes when Antony Sweeney found Boyd who crossed in for Monkhouse at the far post to squirm the ball in from an angle.
Monkhouse should have won it for Pool on 87 minutes when Armann Bjornsson headed into his path, but he blazed his volley wayward.