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I remember an episode of the Twilight Zone that's kind of similar.. IDK though sounds great!

Yup.. Dead Calm.
Sam Neill
Nicole Kidman
Billy Zane

Maybe it was The Neverending Story...

I'm looking for a black and white movie about a girl (I thk she's American) who moves to England rents a flat and starts being terrorized by somebody? I think in the end it's the landlady's husband...