I looked him up after submitting my post. I found an obituary indicating Mr. Fautheree passed away in 2014. All of the Fautheree rifles I know of seem to have been built in the late sixties and into the eighties, but the obituary seemed to indicate he was actively pursuing his various interests until the end of his life. So, I don't know that he was building Hawkens into the 2000's, but I suppose it's possible.
The other thing is that he had lived in Pagosa Springs, CO, for a number of years, and he must have moved out of California quite a while back. So, despite the early California association, it's probably not likely that he was the builder of the OP's rifle, and I may have been a little out of line suggesting his name without searching the details first... My apologies. Everything I've read about Mr. Fautheree indicates his workmanship was of the highest order, and there are a surprising number of his rifles up for sale on the various auction and dealer sites.
It would be helpful if the OP would examine his rifle for any markings, as Cowboy suggested, and maybe post a few pictures.
Best regards,
Notchy Bob