The visitors threatened first with Caleb Folan forcing a save from Rhys Evans in the second minute and then seeing his header bounce just wide of the post a minute later after a cross from the lively Hurst.
Blackpool enjoyed the lion's share of the possession with Wes Hoolahan pulling the strings in midfield but it took 33 minutes for them to finally make the breakthrough.
Claus Jorgensen's right-wing cross went in-between big strikers Ben Burgess and Scott Vernon but Gillett arrived late to bullet a header into the bottom left-hand side of Barry Roche's goal.
A minutes silence was impeccably observed by both sets of fans for Gunner Lee 'Thorny' Thornton (22) a seasider fan born in Blackpool and serving in the 58 (Eyre's) Battery, 12th Regiment Royal Artillery who died on 7 September 2006 as a result of injuries sustained whilst on patrol in Iraq.
The second half again saw the home side make a bright start with Shaun Barker overlapping down the right flank to get on the end of a good passing move but he saw his shot turned around by Roche.
But the leveller finally came just before the hour mark when a long throw from Mark Allott evaded everyone in the penalty area and Hurst slotted home from the right wing.
Although the pattern of Blackpool's superiority continued there was one chance for the Spireites to grab all three points when Allott's shot from the edge of the box was tipped just over by Evans.
At the other end Roche had to be on his guard when Andy Morrell scampered after a through ball from Burgess but the big keeper did well to smother the ball.