Nelson was born in Brooklyn, New York on December 17, 1938. Novella was born to James and Evelyn (formerly Hines) Nelson in Brooklyn New York. Her father was a pastor and a taxi driver. Her mother was an executive assistant at magazine publisher Women's Wear Daily. An African American, she attended the predominantly white Brooklyn College in the late 1950s, majoring in biochemistry. She took a speech class, which was an acting course, and was asked to perform in a play. For the play she took on the role of Berenice, the housekeeper, in "The Member of the Wedding" by Carson McCuller. After being on stage in this and other plays, she the Future Actress changed course becoming a theatre major.