Haunted (1995) starring Aidan Quinn, Kate Beckinsale, Anthony Andrews, John Gielgud, Anna Massey
From IMDb: David Ash comes back to England to be professor of psychology at the University of Camberley. The skeptical David is specializing in psychic phenomena and exposition of false mediums and frauds and writes a successful book about this subject. After a number of calls from an elderly woman named Miss Webb, claiming to be haunted by ghosts, David decides to accept her invitation to visit. When he arrives in Edbrook's train station, the beautiful Christina Mariell is waiting for him. She drives him to the remote mansion, where she lives with her two brothers and their former nanny, Miss Webb. After being introduced to the family, David finds the behavior of Miss Webb vweird and disturbing but decides to investigate the existence of any psychic phenomena. Meanwhile, Christina and he fall in love. Their romance and his investigation come to surprising revelations.
Here's Part 1 on YouTube: