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I am 90% sure that this by either Isaac Asimov or Ray Bradbury. I think I might have read this in The Martian Chronicles. Basically, the story starts off with a house that cooks, cleans, and performs every other menial task required. Something happens that causes a fire to break out but the house doesn't have enough water so it burns down all except for one section. This section contains the spirits (maybe shadows or souls) of the family that lived there.
I read this in around 2000, maybe? Any help would be appreciated!