Throughout its history, the 76-square-mile island of Catalina has played host to Native Americans, smugglers, otter hunters, ranchers, miners, entrepreneurs, vacationers, movie stars, and nature enthusiasts. William Wrigley Jr. (of chewing-gum fame) bought the island in 1919 and later constructed the recognizable casino building, which was never used for gambling but did become one of the best-known ballrooms in America. In the 1970s, the Wrigley...