Darlington forced a corner six minutes into the second half off Hinton and from the flag kick the unmarked Conlon rose to head over the bar.
The visitor's Hadley did well to turn and charge forward a minute later but his end product from 25 yards was wide of the post.
Maddison was fouled on the edge of the area on 53 minutes and Liddle's free kick was well saved by Brock at his near post.
A good run from Harrier's Shilton caused some problems for Darlington Bird's final cross was hacked away for a corner. Sam Shilton
Harrier's could not trouble Darlington from the set-piece although moments later Davis's cross picked out midfield partner Blake who could not guide his header towards goal.
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