In "The Invisible Girl," a traveller takes shelter in a ruined tower during a storm, and the housekeeper tells him the story of a painting called "The Invisible Girl." The painting depicts a young woman named Rosina who fled her home after her guardian, Sir Peter Vernon, discovered her relationship with his son, Henry. Henry was away when Rosina left, and arrives home to discover that, in spite of a search by the regretful Sir Peter, Rosina is presumed dead. Reports begin to circulate of a spectre of a young woman wandering near the tower, and Henry goes to investigate. He discovers that Rosina has been hiding there, and brings her home. They are reconciled with his father and marry, and furnish the tower as a monument to their story.
This tale hints at the supernatural in its suggestion that Rosina's banishment and her metaphorical invisibility in the eyes of the wealthy and haughty Sir Peter make her in some way physically invisible, but the apparent ghost in the tale is explained away as the wandering Rosina.
For more information about this tale, visit its Wikipedia page.