The Chain Invisible (1916)

James Wadsworth sets his sights on the lovely society girl Anna Dalton and determines to marry her. To achieve that goal, he follows her everywhere she goes, including on a ship to South America. He comes up with a plan to make her love him--he throws her overboard, follows her over the side and swims with her to a deserted island. His somewhat unorthodox method works and he wins over Anna, but problems arise when Richard Towne, Anna's fiancé who has been searching for her, finds the island and discovers the two.