The Spireites sold Folan to Premiership Wigan for £500,000 on Friday and boss Roy McFarland played a 4-5-1 formation which Huddersfield could not handle in the first half.
With just Paul Shaw up front, the visitors packed the midfield and dominated play.
Peter Holmes, a January signing from Luton, grabbed the opening goal in the 23rd minute.
Huddersfield levelled eight minutes into the second half as manager Peter Jackson switched his formation and the home side had enough chances to win the game.
Chesterfield skipper Mark Allott was sent off a minute from time for a second bookable offence when he brought down Danny Schofield just outside the box.
The Spireites controlled the first half and almost went ahead in the ninth minute when lone striker Paul Shaw beat keeper Matt Glennon to the ball and set up Derek Niven whose effort was cleared off the line by David Mirfin.
Adam Smith hooked an overhead kick over the top before the visitors took the lead through Holmes in the 23rd minute.
Kyle Critchell, making his debut after moving from Southampton, crossed from the right and Holmes, one of two unmarked players, headed home unchallenged.
Huddersfield hit back with half-chances and Luke Beckett's snap-shot was simple for Michael Jordan before Chris Brandon skied a wayward strike.
Michael Collins side-footed a shot aimed at the top corner just over and Beckett should have levelled two minutes before the break.
Shaw's loose pass back towards his own goal fell nicely for Beckett who turned away from his marker but sliced his left-footer into the advertising hoardings.
Huddersfield captain Jon Worthington, who has been struggling with a groin injury, was substituted at half-time and replaced by Young, who injected some urgency into the home side's play.
Beckett went close just into the second half but his volley was weak and then Young, proving a real handful, picked his spot after Gary Taylor-Fletcher set up the opportunity.
Brandon's back post volley flashed across the face of goal before Jordan's half-clearance fell for Young whose acrobatic effort from 25 yards was only a fraction too high.
Colin Larkin was introduced to add more goal threat for the visitors and he almost scored with his first touch but Glennon tipped his header over the bar.
Brandon, against his former club, gave the ball away to Shaw who set up Niven but he rolled his shot wide when clean through.
Beckett had a header cleared off the line by Holmes but both sides seemed happy to share the spoils.