Substitute Bird got into a good position on 77 minutes after Shilton's long cross by-passed the home defence but the midfielder sent the ball whizzing across the face of goal from the right-hand side. Stewart Hadley was Harriers' third substitution as they tried to salvage some pride
Hadley replaced Foster seconds later.
And Shrewsbury rubbed salt in Harriers' wounds on 79 minutes as nippy Rodgers completed his hat-trick.
The young striker was sent straight through the middle by Murray's perfect through-ball and he finished with ease passed the advancing Brock.
Shrewsbury made their first substitution four minutes from time when Moss replaced tricky winger Aiston.
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