Lawman (1958)

Season 1: Episode 35

After Ches Ryan's pay is docked, he retaliates by robbing the payroll. As he escapes, he passes through a town plagued with an illness. He comes across a young woman and her little brother who are both ill and have no one to look after them, so he stays to help. Dan catches up to him while there, and consequently gets the fever himself. Ryan then tends to Dan, also.