Leigh Corfman says she was 14 years old when an older man approached her outside a courtroom in Etowah County, Ala. She was sitting on a wooden bench with her mother, they both recall, when the man introduced himself as Roy Moore. It was early 1979 and Moore — now the Republican nominee in Alabama for a U.S. Senate seat — was a 32-year-old assistant district attorney. He struck up a conversation, Corfman and her mother say, and offered to watch the girl while her mother went inside for a child custody hearing. “He said, ‘Oh, you don’t want her...