Harriers regained the lead on 32 minutes with Smith's first goal of the season.
The former Bromsgrove player, who switched to right-back during the game, fired home at the second attempt from close range after his initial header had been blocked by a Swansea defender.
Comments: Our rules
We want our comments to be a lively and valuable part of our community - a place where readers can debate and engage with the most important local issues. The ability to comment on our stories is a privilege, not a right, however, and that privilege may be withdrawn if it is abused or misused.
Please report any comments that break our rules.
Read the rules hereComments are closed on this article