Borough had struggled for a breakthrough until two fine finishes by Harrison – his first goals for the Sports – saw the Rams raised.
Borough will aim to keep their fine run going on Tuesday night when they are at home to 21st-placed Stanway Rovers.
See pictures from Eastbourne Borough 2 Ramsgate 0 on this page and the ones linked. Get the latest from Priory Lane in the Eastbourne Herald every Friday.
45. Eastbourne Borough v Ramsgate pictures by Lydia and Nick Redman (27).jpg
Eastbourne Borough v Ramsgate, Isthmian Premier Photo: Lydia Redman : Lydia and Nick Redman
46. Eastbourne Borough v Ramsgate pictures by Lydia and Nick Redman (31).jpg
Eastbourne Borough v Ramsgate, Isthmian Premier Photo: Lydia Redman : Lydia and Nick Redman
47. Eastbourne Borough v Ramsgate pictures by Lydia and Nick Redman (32).jpg
Eastbourne Borough v Ramsgate, Isthmian Premier Photo: Lydia Redman : Lydia and Nick Redman
48. Eastbourne Borough v Ramsgate pictures by Lydia and Nick Redman (29).jpg
Eastbourne Borough v Ramsgate, Isthmian Premier Photo: Lydia Redman : Lydia and Nick Redman