Chasetown picked up their third league win, all away from home, with another clean sheet at Kendal.
Both sides had their chances in an eventful first half.
Billy Akrigg fired rattled the Chasetown crossbar with a slight touch onto the crossbar from goalkeeper Curtis Pond.
Chasetown were handed a great chance to take the lead. George Cater struck the post with a low shot and the rebound was adjudged to have been handled on the line by Bradley Carroll who received a red card.