I’ve always considered people like the Carter Family, Sam McGee and Roy Acuff as the pure, 200-proof country music, and that music mostly came from the Appalachian/Piedmont area. (The ancestry, while distant, seems to be mostly Celtic folk, in contrast with Hank Williams and Jimmy Rogers – they hailed from further south, and showed clear blues influences).
While I’m less familiar with what I consider ‘Western’ music, I would think of it as described in this thread – lots of cowboys yodeling, and hailing from Texas and Oklahoma.
At some level, it’s moot – if you’re talking about where the performers and audience come from, today’s ‘Country and Western’ music might be more accurately called ‘Suburban and Southern’.