This is slightly earlier, and there's no "House" in the title, but I'll give it a try:
Child of Glass (1978 TV movie) From IMDb: Alexander Armsworth (Steve Shaw) and his family move to an authentic antibellum mansion that once was owned by a river pirate. Alexander is drawn into a century-old mystery when he sees the ghost of a little girl named Inez Dumaine (Olivia Barash), and she asks for his help in finding the "child of glass" by reciting a riddle: "Sleeping lies the murdered lass, vainly cries the child of glass; when the two shall be as one, the spirit's journey will be done." He has only a day or two to solve the riddle or be haunted for the rest of his life.
Just in case, here's Part 1 on YouTube: http://www.youtube.com/watch?v=iD4NeAvKkC0&fea...
Yes, this is a Disney movie.