Grove's misery was capped when striker Jack Jones had a late penalty saved and the rebound was fired well off target.
The result means that Jamie Hillman's side haven't won for ten games since their 4-0 victory over Cadbury Heath in late August. Next up is a home game against one of the four sides below them, Cheddar, on Tuesday night. Kick off at the AVB Stadium is at 7.30pm.