However, it was Hednesford who had the first clear opportunity when former Scholar George Cater fired into the side netting.
Joey Butlin then saw a header just over the crossbar as the hosts threatened to take the lead.
Butlin then went even closer, robbing goalkeeper Santana of the ball but defender Ben Bailey headed over the bar.
A minute before half time Jack Langston drilled a shot inches wide of the post.
Without many clear cut goal scoring chances, Chasetown were more than holding their own against their higher league opponents.
Left back Alex Curtis was pushed forward after a first half injury and forced a good save from sub keeper Wycherley midway through the second half.
The Pitmen took the lead in the 70th minute with their first shot on target. Smith took on the defender and fired a shot beyond the previously redundant keeper Curtis Pond.
Chasetown continued to create half chances but in a closely fought game, it was the visitors goal that pinched the South Staffordshire bragging rights.