Pot bellies aren`t just indoor house pigs. Pickles lives outdoors in the barn with my ducks. I live in northern Canada where the winters are bloody cold and she is out in the barn in the winter. As long as they are provided shelter from rain and direct sun in the summer and aren`t exposed to cold drafts in the winter they are fine outdoors. Pickles was previously a house pig but once she got old enough to start going outside in the barn yard she refused to go back in the house. I would watch keeping a pot belly and goats together. Usually either the goats will ram the pig and hurt it or the pig is aggressive and will chase and terrorize your goats. I have 2 pygmy does and three pygmy whethers that used to live in a 1 acre pen with Pickles and they got along fine but Pickles had a stall in the barn with a pig door only she could fit through to get away from the goats, and mini horse that lives with the goats.
Good luck with your pig that is possibly in labour. I have had a mare that lived with a stud for two years before she got pregnant. We had thought that he was shooting blanks as well but apparently not cause three years later we had a foal hit the ground. The previous year things just did not seem to happen. It sounds like she is in labour to though, so I would not worry to much!