Brave Brantham were a whisker away from holding league leaders Newmarket Town to a draw away.
Ben Robinson and Josh Lee had given the Jockeys a two goal half time lead but the Imps rode them hard in the second half.
Kai Fletcher grabbed his fifth goal in three games in eight days. Louie Bloom hit the crossbar late on and and only an outstanding save from Newmarket keeper James Young denied Pip Boyland's side a point.
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