Grant Flower and Matt Walker started to rebuild the Essex innings, bringing up the 50 in the eighth over.
Kent also announced that experienced batsman Matt Walker has not been offered a contract for next season.
But Matt Walker (35no) and James Foster (40no) shared an unbroken 75 for the fifth wicket as they closed on 107-4.
Mark Pettini was also undone by Batty and Jordan and when Matt Walker became Tim Linley's maiden Championship wicket, the home side were in trouble.
They will still have Ravi Bopara (57) and Matt Walker (46), who shared an unbroken third-wicket partnership of 82, at the crease on the final morning.
Resuming on 99-3, opener Matt Walker was run out early on for 38 before Rikki Clarke (3-20) and Chris Woakes (3-69) helped bowl out Essex for 193.
BBC: Darren Maddy half-century helps Warwickshire beat Essex
Essex's reply faltered right at the start as Razzaq dismissed openers Mark Pettini and Matt Walker, and Grant Flower soon followed with only 11 runs on the board.
We'd meet up with Gary Miller and Dennis Gargano and Matt Walker and John Ballerini and David Clingerman and Jonathan Powell and a dozen other neighborhood kids and run.
Matt Walker brought up the Essex 100 in the 16th over, before taking 17 off the next was bowled by Suppiah during which Walker he was dropped just inside the boundary ropes.
Essex slumped further when Balcombe persuaded Matt Walker to edge to the slips and then had Ryan ten Doeschate lbw before Bopara and Foster, who was dropped on seven, halted the Hampshire charge with a fifth-wicket stand of 65.
Croft may have done more damage had Pettini not been put down on 22 and 34, but the Essex captain made the most of his good fortune and went on to rebuild the innings in a stand of 64 with Matt Walker (25).
Inevitably, as darkness fell, Matt's dad, Bob Walker, would let loose a two-fingered whistle that shot up Emerald Lane's steep hill like a flamethrower.
Sale's Rory Lamont, Ospreys winger Nikki Walker and Edinburgh trio Dave Callam, Ross Rennie and Matt Mustchin were unavailable for selection through injury.
Matt Holland almost scored when he latched onto a pass from Marcus Bent, but Walsall goalkeeper Jim Walker made a good save.
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