Lilith, directed and adapted by Robert Rossen, from the novel by J.R. Salamanca, was a provocative and erotic black and white film in 1964 from Columbia Pictures.
The film is set in a mental institution in Rockville, MD (just north of NIH in Bethesda, where I was an inpatient in 1962). The setting is that a discharged veteran Vincent Bruce (Warren Beatty) becomes obsessed with a schizophremic paient Lilith Arthur (Jean Seberg).
The film builds up tension, and is as much about exposing Bruce as it is Lilith. But Lilith has been isolated already for inappropriate behavior with other patients. When Bruce obviously has a crush on Lilith, another patient Stephen (Peter Fonda) commits suicide, and that brings back memories of Liliths' own suicide.