After being jilted by his fiance, Arthur Pilbeam wants a job where he won"t encounter women. He is sent to a lighthouse on a remote Scottish island which is being run as a meteorological station and he is to be the only inhabitant. However, Jane, a young girl, has stowed-away on his boat. She is looking for her uncle on the neighbouring island. Then model Bobbie turns up - her boat has been torpedoed. With the arrival of another boat load of survivors, bringing the total occupancy of the island up to 13, things are getting a little crowded. That"s when they all start to disappear, one by one...