A short phrase for "Baby Doll" as a title and a pet name for your lover. Being the first time that the phrase "BB Doll" was ever defined on Urban Dictionary, the very first BB Doll out there was probably named Brenda and she used to run a music paper from Cleveland, Ohio, called U.S. Rocker, but now anybody can be somebody's BB Doll. Would you be mine? Could you be mine? Won't you be my BB?