We don't have synonyms for hourse yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are house, course and horse.
°More generally, a shortened name for any chamber of a legislature that is named "House of...", especially where the other chamber(s) are not so named (as in Australia or Canada), or where there is no other chamber (as in New Zealand).
°More generally, a shortened name for any chamber of a legislature that is named "House of...", especially where the other chamber(s) are not so named (as in Australia or Canada), or where there is no other chamber (as in New Zealand).