
It was towards the end of an incredibly scrappy first-half that the visitors scored the winner, as Troy Walters picked up a loose ball on the edge of the box and slammed a low shot into the bottom corner.
In amongst a number of stoppages, Junior Da Cruz picked up an ankle injury and had to be withdrawn, while Kye Williams missed 10 minutes after being sin-binned.
Nathan Smith made a smart save as the Lobsters bore down on goal in the opening minute, while the Kingfishers had a double penalty appeal turned down after Daniel Santos lost his footing when rounding the keeper, then a defender threw his body in the way of Callum Winchcombe’s follow-up drive.
The visitors pinned Thatcham back for long periods, but Town withstood the pressure, albeit with goalkeeper Smith struggling after picking up a knock.
In the closing stages Kaser Chowdhary was brought on to add physicality to the forward line and saw two headers drop agonisingly wide. In a final chance his deflected shot from 12 yards brought a flying save from James Dillon as Redhill held on for the points.
TEAM : Nathan Smith, Junior Da Cruz, Callum Winchcombe, Callum Willmoth, Kai Boylan, Luke Polding, Archie Denton, Archie Goode, Kye Williams, Daniel Santos, Dan Smith.
SUBS ON : Rowan Clark, Prince Da Cruz, Jamie Barker, Kaser Chowdhary. SUB UNUSED : Will Stantiford.