Movie about a young girl with mental problems and social worker or psychologist becomes affected by her delusions

This was a movie in the 80’s or 90’s. A young girl is emotionally disturbed and a woman (a psychologist or social worker) is trying to help her. The girl keeps singing the clapping song- “my mummy told me, if I was goody, that she would buy me a rubber dolly”. Eventually the psychologist becomes affected by the girl’s madness, and at the end of the movie she sings the song too.

 

I’m not sure if this was a TV movie, and I think it may have been British but I’m not sure.

 

Any help is appreciated!

3 thoughts on “Movie about a young girl with mental problems and social worker or psychologist becomes affected by her delusions

    1. No, that’s not it. That was a good one though.

      My boyfriend thinks I might be combining movies in my memory. Frustrating! lol…

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