Emmanuel Akokhia scored the all-important goal after 12 minutes.
The other game of the night saw fourth-bottom Walton & Hersham suffer a 2-0 Stompond Lane defeat to a now seventeenth-placed Sittingbourne side.
The visitors were already a goal up through Ita Stevan`s 20th minute effort when the Swans had forward Michael Salako sent-off seven minutes before half-time. Jack Stevenson made sure of the points for the Kent side on 78 minutes.
Ryman League
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