Matty Kosylo marked his return from suspension to put Halifax Town ahead, but Denton cancelled it with a trademark header.
Will Evans had a goal-bound shot blocked inside the area within the first minute, after Denton had won his first header within the first 10 seconds.
But that proved a false dawn for The Spireites, who were largely second best in the first half.
From Jacob Hanson’s cross, the ball was headed over at the far post only yards from goal, while another of his crosses was scrambled away. Joe Skarz then fired a driven shot just wide of the post.
It wasn’t all Town; Denton headed one of Sam Muggleton’s long throws onto the top of the bar, while debutant Alex Kiwomya should have done better than directing Lee Shaw’s cross wide.
Wootton’s Denton-esque flick-on from Sam Johnson’s long ball directed the ball perfectly into Kosylo’s path, who then rounded Callum Burton and stroked the ball home. But the lead lasted only 10 minutes as substitute Jerome Binnom-Williams’ cross was headed back across goal and in by Denton.
The momentum appeared to be with Chesterfield as Hines’ low shot was saved by Johnson, before Denton headed wide.
Edwards had a shot saved before Wootton came within inches of netting the winner when his header from a corner crashed off the bar.
Halifax: Johnson, Hanson, Clarke, Maher (Lenighan 44), Skarz, Staunton, Berrett (King 61), Edwards, Southwell (Duckworth 78), Kosylo, Wootton. Unused substitues: Rowley, Odelusi.
Chesterfield: Burton, Muggleton, Maguire, Evans, Smith, Rowley, Weston, Reid (Binnom-Williams 67), Kiwomya (Hines 46), Shaw (Fortune 90), Denton. Unused substitutes: Hollis, Kayode.
Referee: Marc Edwards (Durham).