Aidy Boothroyd threw strikers galore onto the pitch in a bid to claw back Redshaw's opener for the hosts at the Globe Arena but it was a defender who came up trumps to keep Town in 4th place in League Two.
With Port Vale falling away badly it is the Potteries side who now lie just two points above Northampton in the table.
The Cobblers are on the road again this Saturday when they face Wycombe Wanderers.
“I think that was as good an away performance as we’ve had - we were solid, we were resilient and we were tough," was Boothroyd's verdict while opposite number Jim Bentley was also satisfied.
"If I'm being honest a draw was probably fair," Bentley said. "It was a game that had a bit of everything with plenty of chances at both ends, a few tackles flying in and a lot of goalmouth action.
"I asked the lads for a response after Saturday's defeat at Barnet and I certainly got that."