Blanche DuBois was long considered to be inspired by Willaims' sister Rose, who suffered from mental health problems and eventually underwent a lobotomy.
Marvin told the Telegraph that she met Williams when he was in rehearsal for the Broadway premiere of The Glass Menagerie. The two were introduced by Margo Jones, who was directing the play, which opened in 1945.
"Tennessee fell in love with my name, which was then, Blanche Zohar," Marvin told the Telegraph. "I wasn't his muse, but it was how Tennessee worked. He would take things out of conversation and would transpose it into a play. That was the genius of the man."
"We began to talk and there was a real affinity between us. The two of us ended up crying on each other's shoulders. We got very close," she added.
A Streetcar Named Desire premiered on Broadway in December 1947. The play follows fading Southern belle DuBois, who is forced to move in with her sister but finds herself tormented by her bother-in-law. It was adapted into a 1951 film starring Vivien Leigh and Marlon Brando.
It has been revived several times, the most recent Broadway production featuring Blair Underwood as Stanley and Nicole Ari Parker as Blanche. A production featuring Gillian Anderson began performances at the Young Vic July 23. It will be broadcast live from the theatre Sept. 16 to cinemas around the U.K. and the world.