I'm sure that many parts came together to form the whole, so short of model books and company accounts (which seem to be mysteriously short on the ground) we can only speak in broad outlines and then again, only for certain people and models.
The first hurdle is that not all razor makers made their own steel. Wade & Butcher did, Christopher Johnson, Thomas Firth & Sons, Greaves, Adam Padley, Pickslays, Stodart, Samuel Osborne, William & Samuel Butcher at the Philadelphia Works, T R Ellins, etc. etc.
The second hurdle is the longevity of some companies and different steel formulations.
However, we can ascertain that upon Benjamin Huntsman's re-discovery of crucible (wootz) steel and its marketing to France (and then back to the UK - Sheffield refused it at first, hence it being marketed in France), that Acier Fondue is Huntsman's recipe. Other ones that are notable include the early alloying of silver with steel by Stodart (whose logo was a mark for wootz) and Faraday and marketed by Pickslays and others. Adam Padley worked alongside these for a while, but set up on his own, using silver steel. The alloy seems to have come from silver mines in South America, and the name 'Peruvian' was adopted, so by a process of elimination we can trace that to being a silver and steel alloy first formulated by Stodart and Faraday in the early 1800s.
Although taken by some as marketing ploys, the use of, for instance, 'Fine India Steel' tells us that this was a crucible steel redolent of wootz. The early damascus blades by well-known and reputable makers are along the same guidelines as fine india steel, although certainly there are a multitude of lesser brands that used the name willy-nilly.
All we know about the earlier W&Bs are that they are among the very softest of steels (around 59 on the rockwell scale) which was the miniumum hardness set by Solingen Statutes. Much later we find the outstanding Puma razors, still made of fine sheffield steel, but having a rockwell of around 60-1, which is very high indeed.
So Jimmy, the short answer is no - we don't know!
Regards,
Neil