The visitors from the West Country went 2-0 up before Borough's pressure was rewarded when Leone Gravata crossed for Decarrey Sheriff to head home his first Sports goal.
Borough couldn’t find an equaliser and it was a second loss on the trot following Monday’s 2-0 reverse at Aveley – who won at Worthing as Bath were winning at Eastbourne. Borough are 19th in the table.
See pictures from the match by Lydia and Nick Redman on this page and the ones linked. And see Andy Pelling’s match photos in the slideshow in the video player at the top of the article.
1. Eastbourne Borough v Bath City pictures by Nick and Lydia Redman (14).jpg
Action from Bath City's 2-1 win at Eastbourne Borough Photo: Nick and Lydia Redman
2. Eastbourne Borough v Bath City pictures by Nick and Lydia Redman (20).jpg
Action from Bath City's 2-1 win at Eastbourne Borough Photo: Nick and Lydia Redman
3. Eastbourne Borough v Bath City pictures by Nick and Lydia Redman (12).jpg
Action from Bath City's 2-1 win at Eastbourne Borough Photo: Nick and Lydia Redman
4. Eastbourne Borough v Bath City pictures by Nick and Lydia Redman (31).jpg
Action from Bath City's 2-1 win at Eastbourne Borough Photo: Nick and Lydia Redman