I don't know about a dollar bill (but you can go to that "Where's George" website that lets you register where a dollar has gone...
But, I remember a book my fifth grade teacher read to our class. I think it was called "Hitty." It was about a doll ("Hitty") that was made I think in Colonial America. It follwed the dolls travels over about 200 years. That's about all I remember, except for the fact that it had us mesmerized.
But then, that was they days of black and white television and we were pretty easily amused...
Does that mean it sounds boring to you? ;~D - I have no intention of writing it... so even I don't seem too interested in it! I have just always wondered where money has been when I get it, and wonder what tales it would tell if it could.
I think you're right about the book title - I'm sure the doll's name was Hitty. Another great book! I think my sister still has that one.