Chapter II. New-York.--Philadelphia.--Account of the Mammoth.-- Norristown.--Spring Mill Ferry.--Philadelphia.-- Burlington--Amboy.--New-York.--Baltimore, Wash-ington.--Alexandria. 7th Month 31st, 1804. This morning I was conducted by my companions to one of the Public Baths kept in the city of New-York. These Baths are upon a plan I had not seen before. On each side of a long and spacious passage, is a range of small rooms, in each of which is a Bath sufficient to accommodate one person; with suit- able conveniences for dressing and undressing. On the side of each Bath are two brass cocks, the one furnishing warm and the other cold water; so that the bather may have the water at what tem- perature he pleases. There is also a valve, by means of which, if there is more water than is pleasant, he may let part of it out. Some of these Baths are made of white marble; and are so con- structed that a person may lie down or sit in them. So grateful it is to remain a considerable time in them, in the warm season of the year, that it is a common practice for bathers to take books with them to read while they thus indulge them- selves in the Bath. There are also Baths in a different part of the house set apart for females.