There are many famous rumors about stars and the roles they supposedly almost landed — but this time, the rumor is real. Before her 1967 breakthrough in Valley of the Dolls or her 1968 marriage to director Roman Polanski, Sharon Tate was a young actress, just beginning to make her way in Hollywood. At only 20, the former beauty queen began exploring her acting options — and got incredibly close to landing the role of Billie Jo Bradley on the CBS sitcom Petticoat Junction.