Team Logo. The Cleveland Naps were a team in Major League Baseball. They were named after their manager and star player Nap Lajoie. They played in the American League. In 1915, they changed their name to the Cleveland Indians. Retrieved from "https://prosportsteams.fandom.com/wiki/Cleveland_Naps?oldid=16627" Categories: Former MLB teams Teams in Ohio Teams in Cleveland Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.