Broughton curled the ball into the net inside 30 seconds but he was offside from Henriksen's pass.
Harriers continued to look hungry and keeper Musselwhite had to rush out of his goal on nine minutes to clear as Shilton raced onto Stamps' long pass.
Hull were forced into a substitution on the 15-minute mark when Edwards hobbled off to be replaced by S Smith.
A Williams through-ball let in Broughton on 22 minutes but he shot into the side netting after rounding the keeper Musselwhite.
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