Is american national and american general one and the same company?

Yes

George Washington was one of the generals.

Yes, American Bath and Shower, or American Standard, is an American company. Founded in 1872 and headquartered in Piscataway, New Jersey, they specialize in manufacturing plumbing fixtures.

General Nicholas Herkimer.

All the natives of North, Central and South America (except for the Inuit and Aleut peoples) are of a single race - so they are all native Americans.