Revealing mistake: As Rosemary looks at Minnie through her door the peep hole is obviously held up by hand in front of the camera as it is moving around considerably. (00:20:05)
Revealing mistake: After meeting Roman, Hutch and Rosemary talk about things as they have coffee in her kitchen. If you look out the window the backdrop has no buildings and the sky is black and white. (01:05:40)
Revealing mistake: Rosemary waits for Hutch at the Time Life Building and a crowd of bystanders can be seen watching the filming as she stands up when she thinks she sees him walking towards her. (01:10:50)
Revealing mistake: Rosemary crosses 5th Avenue as she goes looking for a bookstore to find more material on witches and a lot of bystanders can be seen staring at the film crew. (01:36:10)
Chosen answer: It doesn't have a specific title. It was a lullaby written for the film by Krzysztof Komeda. There's a few variations of the lullaby heard throughout the film, the opening credits version is listed as "Rosemary's Baby Main Theme - Vocal."
Bishop73