No, they don't. They have an U17 side that is stacked full of players who are too old to be in the league and without whom they would not have a team at all.
Really... that's classic. Rather spoils the optimism of the piece in the Herald.
From the paper:
While the Eastbourne Football
Club continues to wrestle with issues around its administrative future,its prospects on the field look bright with the performances this season of its first-ever under-17 team.