There's another possible correlation to this theory. The Forossa knights are called "Lion Knights", and Ornstein...who has been implied to have been the Nameless Kings' number one, judging by the fact he left Anor Londo to seek him out and his utilization of spear methods created by the First Born, has armor with a strong Lion motif along with his Leo Ring of course.
It's probably a coincidence but it's a very strong, in the very least eye-raising one. It would go against the naming convention of the children having "Gwyn" in their name in some way, but it's not impossible either. Maybe he was just simply the exception, or perhaps "Faraam" was a new name the people of Forossa gave to him in the absence of his now forbidden original name. Even after his exile and his name being stricken from all record, the First Born was still out there for quite some time. Perhaps helping to cultivate the general fascination warrior castes in the world of Dark Souls have with Dragons.