I am not surprised - But a bit hopeful when I found one referenced to belonging to someones great-great grandma in the 1880's.
I found a bunch of references to what one source called "pancake dolls" - like the simplicity pattern - both with the legs cut out as part of the pattern (like a gingerbread man shape) and with the arms and legs cut separately and then sewn on.
The references I found to a rolled doll were "ragged soldiers" and one made by rolling sheets of newspaper and then covering in cloth.
I found some variations of the hankie dolls, and the babies in a hammock, plus a hankie mouse and a hankie rabbit - almost all say something like "what your grandma played with". One of the books was printed in 1970 - so grandma may have been born in 1890? Got to be a better way to research and date such thing
But then, this was just an afternoon of general surfing, not serious research.
Miss Amy - who is finding dolls additive and needs to spend her time making drawers!