the correct phrase is, indeed, sh*thouse. (my emphasis)

Welcome, Yoda. If I have learnt anything on this board, it is this: there is no such thing as no such thing.

There *is definitely a legitimate word 'outhouse' - it describes typically the outbuildings surrounding a courtyard in a mansion, and by extension almost any buildings subsidiary in function to a main dwelling. True, I used it here as a jokey leg-pull replacement for 'shithouse' - because there was an ongoing line of discussion about the proprieties of such blunt use of language. see the trouble you get me into, J?!