Former Liverpool man Walters showed his class early on with a dazzling left wing run and a fine cross that skipper Blake cleared away for a corner.
Harriers managed to survive the flag-kick as centre back S Foster stabbed a shot well wide under pressure.
Harriers won their first corner on 10 minutes after a good move between I Foster and Bennett before Bristol cleared their lines.
Big defender Sall just failed to get a firm head to Williams' set-piece.
The home side were playing some good football at times and Foster supplied Blake with a fine pass on the edge of the box which the midfielder side-footed towards goal only for Howie to collect comfortably at his post.
On 18 minutes, Ross beat Hinton on the right but his pull back was fired well over by Plummer.
Broughton was booked on 19 minutes for dissent after disputing a foul given against him.
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