Movie The Strangler (1964)

Leo Kroll is a mother-fixated lab technician who collects dolls. He is also a serial killer, responsible for the death of a number of nurses, and is questioned by the police regarding those murders, but is released. Kroll claims his next victim, Clara, the nurse who has been looking after his possessive mother, who is in hospital after a heart attack. However, he leaves a doll behind at the murder scene. (A subplot features Kroll becoming enamored of Tally, one of the girls who works at the amusement park stall from which he won this doll.)