Worthing failed to score for the sixth time in their last seven home games in a desperately disappointing 3-0 defeat against Walton and Hersham.
Rebels, who have taken only seven points from their last nine games, seldom threatened as a crowd of 151 endured a grim spectacle.
Carl Gibbs cashed in on indecision involving keeper Matthew May and Tom Graves to fire the visitors ahead after 31 minutes.
Striker Phil Churchill, making his Rebels debut after signing from Burgess Hill, shot over from an Andy Alexander cross just after the break.
Rob Wimble doubled the Swans' advantage on 77 minutes after a fumble by May and Adam Fennell sealed victory two minutes from time.
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