Keeper Brock continued to impress as Harriers ensured Hartlepool did not follow up Clarke's 63rd minutes strike with an equaliser.
The homeside brought on Broughton for Henriksen on 77 minutes and threatened a third goal.
Bishop got a touch to Shilton's low cross but sent the ball whizzing over the bar.
Hartlepool had Tinker yellow carded for dissent on 82 minutes.
Hartlepool produced an injury time equaliser through substitute E Williams.
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