You appear to be reading from the script of 'Little Women'. However, the script reads:
I don't know. You see, my Aunt March has rheumatism, and her doctor thought that the baths. Oh, not that she hasn't a bath. She has a very nice one.
In this case, there is a difference between "the baths" and "bath". A bathtub is something that people wash themselves in.
"The baths" is a colloquial term that means "the bathhouses". These are places where anyone can go to have a bath. Usually, this means with other people.
The Aunt has an illness, and the doctor has suggested that going to a bathhouse would be a good way to treat the illness. Resting in hot water can be good for muscles. However, the speaker notes that the Aunt has a bath of her own - so it's a little weird that the doctor has recommended going to a bathhouse.
Looking at the larger conversation, the characters are talking about life in Europe compared to in America. At that point in time, Europe had a lot of things that would be considered strange or interesting to an American, and they are commenting on this.