Jamille Matt ensured Harriers went into the second half with a goal in the 45th minute.
Steve Guinan was forced to come off with a nasty gash to the head after a Wolves player went over him in the 31st minute. He was replaced by Jamille Matt.
Nick Wright thought he'd made it 3-1 in the 39th minute when he sprung the offside trap and finished with a left-footed shot.
The move had been allowed by the official despite one of his team mates being offside but after a chat with his assistant, the referee reversed his original decision and disallowed it.
Harriers had the last laugh in the 45th minute when Jamille Matt met Lee Vaughan's fine right wing cross with a powerful header to make it 3-1.
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