Greene grew up in Champaign, Illinois, and dreamed of being a Hollywood writer.
She attended the University of Illinois and then moved to Los Angeles, where she got a job as a secretary at MGM and was mentored by Charles Brabin.
[1][2][3] She credited Zelda Sears for helping her learn the ropes in the industry.
At MGM, under Sears's tutelage, she wrote a few Marie Dressler vehicles before moving on to Paramount and then to freelance at various Hollywood studios.
[4] Eve's sister, Babette Greene, was executive secretary of the Screen Writers Guild.