Part of the problem is a paucity of Wm. Schollhorn catalogs, of course. IA has a complete 1902, partial from 1917, and a complete 1942. That leaves several wide gaps between 1870 and 1950, when Sargent bought them out. So it's not surprising that collectors have models that cannot be found in catalogs. I'm still not sure the pliers that were referenced as unidentifiable in catalogs in the other older forum conversation you linked were unbranded, but here are two examples of branded pliers I can't find in any of the public domain Schollhorn catalogs or partial catalogs. The model on top in Pic 1, on the right in Pic 2, has jaws not meant to close completely, the other model is noteworthy only because they are made of forged steel and I have never seen Bernard pliers that weren't made of pressed crucible steel.