I’m betting that the proprietor was Joseph West Smith, son of Jesse Nathaniel Smith, one of the founders of the town of Snowflake, Arizona. Some interesting stories about him are on Family Tree.
Joseph West Smith had a son named Joseph Fish Smith, the J. Fish Smith of recent Fruzola fame on Keepa. Another of Joseph W.’s sons, Jesse M. Smith, was (I believe–I’ll have to confirm it) a counselor to my grandfather in the presidency of the Snowflake Stake, at a time when Joseph W. was serving as the Patriarch of that stake. And, in the 1960s, Jesse M. Smith was the president of the Mesa Arizona Temple.
Two decades after that, one of Jesse M.’s grandsons served in a bishopric with me in Brooklyn, New York.
So, if you’re looking for support for your decision to post this letterhead, you’ve got my vote.