The hosts took the lead on 14 minutes, through Jason Perry, before Jason Thompson hit a quickfire brace to hand the lead to Chatham.
Jon Pilbeam added another before the break before Thompson completed his hat-trick midway through the second half.
Byron Walker made it five late on before Bailey Pearce pulled one back in the final minute.
Fisher moved up to seventh place with a 2-1 home win over Sheppey United.
Trey Small and Chandler Kasai scored for the hosts with Jon Ralph stealing a consolation on the final whistle.
Rusthall and Punjab shared the points in an entertaining 2-2 draw at the Jockey Farm Stadium.
The visitors led 2-0 in the first half-hour, thanks to a brace from Luke Adams with Sam Murray and Robbie Bissett replying for the Rustics.
Connor Coyne continued his fine goalscoring run when giving Deal Town the lead in their game against Glebe.
The visitors never gave up though and were rewarded when debutant Kerry Boylan equalised close to the end.
Elsewhere, Bearsted and Crowborough Athletic both claimed 1-0 wins, thanks to first half goals to move each of them into midtable positions.
|