English actress Anna Lee and her first husband, director Robert Stevenson, welcomed their second* baby girl in 1942. The baby was named Caroline after the character Anna Lee portrayed in her first Hollywood film, My Life With Caroline (1941).
Source: “Anna Lee’s Daughter Named for Film Role at Christening.” Los Angeles Times 27 Apr. 1942: A3.
*The first baby girl was given the curious middle name Invicta.