Their web page suggests it might have been as early as 1911 for the current location of the club:
In 1998, St. Joseph Country Club celebrated its 100 year anniversary. The organization of St. Joseph Country Club took place in 1898 at what once was the Corby home, which served as its clubhouse. There were fewer than 60 members at that time. Mr. L.M. Smith was the Club’s first president. The first round of golf was played in 1899.
In 1903, the Club moved to the site now used by the Moila Country Club. It stayed at that location until 1911, when construction started on the present location. The original clubhouse built in 1911, much like today’s, burned to the ground in 1921. The present clubhouse was completed and opened in 1922.
And like so many old clubs, I guess that clubhouse fire likely destroyed early records and minutes.