However, the home side grabbed an equaliser two minutes after the restart.
The Lisbie duo again took centre stage as Kyreece’s hard work in the box put the ball on a plate for Kyrell to slot home.
Alex Traynor could have added another for Essex eight minutes into the second half after rounding the goalkeeper, but he saw his shot blocked impressively in the six-yard box as both sides upped the tempo in search of a second goal.
Sussex skipper Freddie Carter had a great chance to nick the lead on the hour mark when the Blues were awarded a free-kick right on the edge of the area, and the Eastbourne Borough man duly obliged, arrowing his low strike into the bottom corner to put his side ahead once more.
However, Essex got a second equaliser with five minutes remaining, as Traynor burst through to draw level as the clock rapidly ticked down.
Two minutes later the hosts netted another with Traynor involved again, fizzing a ball across the face of goal that ricocheted over the line to break Sussex hearts at the death.
Sussex manager Gary Mansell praised his side’s efforts and work ethic after the final whistle.
“The way we approached it meant we had to work incredibly hard and we knew we’d expose ourselves,” he said.
“Unfortunately, I think because of how hard we’d worked in 80 minutes, we were a little bit fatigued at the end and it’s probably cost us the result.
“I’m disappointed with the result but pleased with how the boys applied themselves and it’s a shame they didn’t get a bit more out of it.”
(A selection of photographs can be found on Facebook - courtesy of Simon Roe Photography)
Goals: 3-2; Shots: 12-8; Shots-on-Target: 5-4; Corners: 3-4; Offsides: 5-1; Fouls: 11-23; Yellow cards: 0-2; Red cards: 0-0
Essex: McEvoy, Spink, Oakley, Smith (c), Hooker, Monk, Kyreece Lisbie, Pompeh, Traynor, Anderson, Kyrell Lisbie. Substitutes: Braney, Broadrick, Gregory.
Sussex: Anderson, Williams, O’Brien, Ward, Carter (c), Andrews, Clark, Beaconsfield, Lauteri, Hall, Peacock. Substitutes: Fuller, Nash, Mthunzi, Yeates, Powell.
Match report by Archie Griggs