Joshua Popool netted the game’s only goal with seven minutes left to leave Danny Bloor’s men empty-handed and down to 11th in the table.
Not even the 88th minure sending-off of Cheshunt’s Ken Charles gave Borough a way back into the game. The Sports will look for better when they make the long trek to Taunton on Tuesday.
See pictures by Lydia and Nick Redman from Cheshunt-Eastbourne Borough on this page and the ones linked.
1. Cheshunt v Eastbourne Borough pictures by Lydia and Nick Redman (1).jpg
Action from Eastbourne Borough's 1-0 defeat at Cheshunt in National League South Photo: Lydia and Nick Redman
2. Cheshunt v Eastbourne Borough pictures by Lydia and Nick Redman (11).jpg
Action from Eastbourne Borough's 1-0 defeat at Cheshunt in National League South Photo: Lydia and Nick Redman
3. Cheshunt v Eastbourne Borough pictures by Lydia and Nick Redman (10).jpg
Action from Eastbourne Borough's 1-0 defeat at Cheshunt in National League South Photo: Lydia and Nick Redman
4. Cheshunt v Eastbourne Borough pictures by Lydia and Nick Redman (3).jpg
Action from Eastbourne Borough's 1-0 defeat at Cheshunt in National League South Photo: Lydia and Nick Redman