Substitute James Vincent almost got in on the scoring act for the hosts, driving a low effort wide.
The visitors still searched for goals but despite Harriers being disrupted by a host of changes throughout the second half, they looked comfortable.
Kristian Kostrna had a go from distance for Wolves but his effort sailed over the bar.
At the other end, Harriers trialist drove into the box on the right and shot into the side netting.
Luke Jones nearly added a fifth at the death but his far post header hit the bar from a Dave Hankin cross.
Harriers: Lewis; Vaughan (Sharpe, 64); Mike Williams (Demetriou, 78); Jones; Marshall (Briscoe, 78); Storer (Phelan, 56); Byrne (Hankin, 72); Cresswell (Vincent, 56); Wright (Bottimer, 72); Guinan (Matt, 31); Marc Williams (Medley, 66).
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