After a lacklustre opening to the game, Chester opened the scoring on 20 minutes when keeper Alan Marriott dropped the ball after colliding mid air with his own player.
There appeared to be little danger when the keeper came to collect a wayward cross, but the collision with defender Nicky Eaden presented the ball to Gregg Blundell who teed up Roberto Martinez to side foot home.
In response, Nat Brown powered a header straight at keeper John Danby, and a swift attack saw Stallard set up Ryan Amoo, but he was denied by a fine last-ditch block by Sandwith which denied an almost certain goal.
Brown was then wasteful with another opportunity, heading the ball over the bar when he had a free-header in front of goal and Scott Kerr fired a shot from distance which was comfortably saved by Danby.
Five minutes before the interval, Chester captain Stephen Vaughan had a great chance after breaking free down the right but shot high and wide.
Chester had a lively opening to the second half, and Sandwith forced a fine save from Marriott with a shot from just inside the box after only three minutes.
And their industry was rewarded in the 54th minute with a goal from Jon Walters. A good break saw Blundell get free on the right flank, and he delivered a pin-point cross which was headed onto the bar by Walters, bounced down onto the keeper, and the striker won the race to bundle in the rebound.
The visitors gave themselves hope with a goal in the 64th minute as a cross to the far post was not dealt with by Danby and Brown bundled the ball in from close range.
But any lingering thoughts of claiming as share of the spoils were ended 14 minutes from time as Gregg Blundell steered the ball in off the bar with a great header after a brilliant free-kick delivery from Sandwith.
The victory was rounded off with a fourth goal on 82 minutes as Blundell delivered another great cross from the right which Laurence Wilson nodded into the back of the net.
There was still time for Lee Frecklington to strike the bar with a thunderous strike in injury time.