CBS (ended 1962)
I can't remember what it's called but I think it's an earlier episode and it's about a little girl who has a doll that comes to life... Do you know what it's called?
I just read your question and it's one of my very favorite Hitchcock episodes called "Where the woodbine twineth."
Unfortunately, I just saw you posted this question 14 months ago. Hope you get this answer anyway.