Coughing up blood moves the problem up to vet status. It could be an upper airway irritation but I would be concerned that it is further down in the bronchioles and needs more agressive treatment.
I would also let the vet know who you bought them off of. If she is selling animals with hoof rot and respiratory problems I would be very concerned at the conditions her remaining animals are living under. I don't know if their are any rules governing the sale of goats unless the conditions are considered an infectious disease but the vet can give you further direction on that.
Thanks... this kinda sucks. Poor goat.