Beautiful old razor. I agree with sharptonn that it looks like it could be styled for the French market. Pointed razor scale tips are an almost exclusively French thing in my experience. The sweeping undercut tang style is also something I also associate with French market razors, but more relatively "modern" (post-1870) styling. Yet that blade style and grind is definitely really old. The tails I've seen on pre-1830 razors seem to be much stubbier and thicker than this one.
It's a mix of things, maybe a transitional late old-style razor or an early new-style razor. Joseph Rodgers that I see tend to be very traditionally styled British choppers, so this one is pretty unusual. So being a non-British marketed razor seems very plausible to me.
On an interesting side note, I recently dug up an out-of-print book I bought years ago called "A Razor Anthology", kind of a collection of razor-related articles from the publishers of Knife World magazine from 1995. Overall it's kind of boring, but it has a great article titled "Razors of the Bowie Men." It turns out that most Bowie Knives sold and used in the United States between 1830 - 1870 were made by a handful of Sheffield companies I only associated with razors. I knew they made knives, but I always figured boring household knives, not something as associated with adventure as Bowie knives in the mid-1800s. Pretty cool.
Joseph Rodgers was apparently one of the key smaller high-quality Bowie knife makers, along with Wm. Greaves & Sons. Wostenholm I*XL brand was the largest, along with Wade & Butcher.
These read like a list of my favorite Sheffield razor makers, and I just thought it was interesting that they played such a badass part in American frontier history.