During interviews, Eva Hart always mentioned how her mother had a premonition about the ship, and would sleep all day and stay up all night. There has been some criticism as to the validity of this, but nonetheless, she mentioned it quite often
George Behe's "Psychic Forewarnings of a Disaster", published in 1988, has a number of cases where people had various kinds of premonitions regarding the Titanic. A very interesting book indeed, in which George analyzes some 130 documented cases where precognition may have been involved.
There was a woman in Liverpool who woke up from a bad dream about the Titanic going down at the same time as it sank. Her husband tried to convince her that she was just anxious because she had relatives on board. It turned out that her sister, a stewardess, was killed in the disaster.