Ann Marie jokingly compliments her father's acting performance by comparing him to Alfred Lunt, an actor who received two Tony Awards, an Emmy Award and Academy Award nomination for Best Actor (1931), and to John Barrymore, who never got an acting award but was considered by most critics as the foremost American actor of his time.
The title refers to the song "My Heart Belongs to Daddy" written by Cole Porter, for the 1938 musical "Leave It to Me!" The song was the big break for Mary Martin who stopped the show.