The Chicago White Sox were not the only team in town playing against a Cleveland sports franchise. The Chicago Bears were taking on the Cleveland Browns in Cleveland at the same time that the White Sox were playing the Cleveland Indians there. It is some smart scheduling by both leagues as there were lots of Chicago fans spending their money in Cleveland.
Unlike the Chicago Bears and their terrible offense, the White Sox were able to score enough to defeat the Cleveland Indians. In their last ever game against the White Sox with the name “Indians”, they were defeated by a final score of 5-2.