This movie a movie I saw on TCM 15+ years ago and I always wanted to re-watch it. It was a black & white movie, shot in either Ireland or the outskirts of the UK. The film was filmed probably around the late 50s to late 60s. It’s about a woman, around 40ish years old (maybe older), who used to take care of someone (probably her mother) and after that someone died she lives alone. Then a younger guy who rides a motorcycle, and might have committed a crime or/and is shady or/and is psychologically damaged, somehow ends up at her house and she takes care of him and falls in love with him. I think it ends with about a man on a motorcycle who has an accident and stays with an older woman. I THINK it ends with him dying (it might be that he drove the motorcycle off a cliff)
“The Night Digger”(1971).
Not b&w, but maybe there was a b&w version, I don’t know. Trailer is below.
I’m going to guess “Night Must Fall.” It’s not an exact match, but it’s pretty close. I’ve seen the 1964 version, with an absolutely chilling performance by Albert Finney, but there’s a 1937 version too.
http://www.imdb.com/title/tt0058401/?ref_=fn_al_tt_2