John,
Take a look at this short pamphlet by Pike/Norton from 1905 (
https://babel.hathitrust.org/cgi/pt?id=uc1.31175035165789). They sold hard and soft Arkansas, and Washita stones. Lily Whites were their best stones in the Washita category, since they guaranteed them. Lower grade Washitas were No. 1 and No. 2, not guaranteed. There was also the Rosy Reds which they say in the pamphlet were similar to Lily Whites in performance. I have a few Washita stones and from the information in the pamphlet I think they're Rosy Reds. On Ebay you can find some unlabeled Washitas (for example,
https://ebay.us/zMuepK, looks like a Rosy Red) that can be bought for less than $100. The Washita stone seems to have been marketed to woodworkers for their utility to them, it can sharpen O1 steel very quickly, I can attest to that.
Harder Arkansas stones are in my wish list. I'm just taking my time waiting for the right size to be available. Some of the ones produced nowadays are 1/2" thick and don't like them. I would prefer 1" thick stones so I can mount them in wooden boxes. I have a suspicion that the current labeling/branding of stones as "translucent", "black", "surgical black" is just a marketing trick to attract customers so I'm being skeptical about what information I will use to decide what to buy. Someone mentioned David Weaver above, he has a really useful video on oilstones he posted a while ago,
https://youtu.be/TgQ1xhMtoBQ.
I'm also curious about Charnley Forest stones, quarried in England, apparently they were replaced by Washitas when they arrived in England back in the day.
Raf