No one has ever presented any credible documentation for either of these two styles of chairs for time periods before the 1900's. Lots of people have been looking, but nothing has been found - yet.
Both styles are comfortable, slide apart and pack well, and are "accepted" at many gatherings where historical accuracy takes a back seat to primitive "old timey looking" comfort. I've owned and used both over the years. They are sturdy and comfortable. But now I only use them at the "history lite" gatherings - where a "colorful" method of camping is more important than a quality historical presentation.
If you truly want and need a comfortable chair that is documentable, then get/make a slat-backed kitchen chair from the time period - fairly plain or frontier cabin rustic. Think along the lines of that chair with the parts split out of a log, shaved down smooth/round, mortise/tenon together, with the seat woven from split oak or hickory bark.
Roy Underhill shows making one in his Woodwright books and tv show. And there are a number of books out there that show the same thing.
These types of chairs and stools show up in dated museum collections, journal descriptions, and period artwork. The only real problem with them is that they pack poorly - they DON'T FOLD UP. So you have to get creative in packing your vehicle to bring them along. Plus, the legs can sink into soft ground. But that can be cured by adding those "rockers" to the bottoms of the legs. (Which might then lead to various comments about Granny Hawkins on the cabin porch in her rocker)
So check out slat-backed kitchen chairs for the late 1700's to early 1800's for some ideas about what might have been available to someone who packed one of the family chairs along as they headed out to new territories.
Just some humble thoughts to share. Take them as such.
Mikey - yee ol' grumpy German blacksmith out in the Hinterlands
p.s. Plastic covered Chrome kitchen chairs are still a NO-NO before the 1940's - even if you cover it with a blanket! Leave them at the fishing/hunting camp along the river. :wink: