A play, rather than a film, called The Stone Tape by Nigel Kneale (of Quatermass fame).
I actually saw this as a child in the 70s - it scared the hell out of me and I hadn't seen it since.
Its basic premise is that an R&D team from an electrics company installs itself in an old country pile to do some product research. The room they are occupying, as it happens, is haunted by a screeching female apparition (it was the blood curdling screams that originally got me) and, being scientific types one of them postulated that maybe what they were seeing and hearing was the result of a phenomenon in which powerful events are recorded onto solid materials in the environment and played back over time - hence the play's title.
Consequently, they throw all their gadgetry at it in an effort to prove the theory and, indeed, prove it they do but in the darkest imaginable way and, as I don't wish to reveal any spoilers, you can find out for yourselves in the link, below, if you feel inclined to do so .
Some great performances from Jane Asher (Macca's ex) and Iain Cuthbertson, best known for his role in the gangster series, Budgie.
Furthermore, even as an adult, that screeching still sent shivers up my spine so no wonder I needed a nightlight on my bedside table for months on end after having seen it at the age of eight.
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I remember seeing this when it was first broadcast and as a 14/15 year old it scared the hell out of me