Harriers made a great start to the second half with Parrish pulling back a superb goal.
Henriksen fed the midfielder just inside the area on the left-hand side and he produced a tremendous chip over the head of keeper A Williams and into the top right corner.
Parrish's goal for the club spurred Harriers on though Hartlepool went close to making it 3-1 on 52 minutes.
Clarke played a clever pass into E Williams whose shot was well tipped over the bar by Brock.
The home side had their first booking on 54 minutes with Clarke cautioned for fouling D Williams.
Joy was also yellow carded on 64 minutes for a tackle from behind on E Williams close to the half-way line.
Loan signing Bishop missed a great chance to equalise for Harriers on 73 minutes but he shot well wide from six yards after Broughton had headed down Flynn's cross.
Hartlepool brought on Widdrington for fellow midfielder Smith on 76 minutes.
Two minutes later Flynn played a good ball to Broughton in space but the big forward fired over from 25 yards.
D Williams will miss a future game after picking up his fifth booking of the season on 81 minutes for showing dissent after a foul was given against Joy.
The visitors made their first substitution eight minutes from time with Shilton coming on against his former club for Henriksen.
In injury time Hartlepool brought on former Birmingham City defender Bass for Clarke.
Report thanks to Worcester Evening News.