On a beautiful July morning in 1991, three men gathered in a hotel suite for an informal breakfast and conversation. The discussion ranged widely over events and characters of the past, famous names and fabled accomplishments flowing along with the coffee and juice. Two of them, Ted Williams and Joe DiMaggio, were the ultimate symbols of athletic glory for generations of American men. The third man, Fay Vincent, was living a dream, sitting with and asking questions of his boyhood heroes.

Fay Vincent never set out to be the commissioner of baseball. He got into the game alongside his good...