Jim:
I'm guessing that's the original SFGC, which became Presidio GC. The name of the artist of the sketch, J. Hardy, is very close to the name of one of the guys who laid out the course, J. Harvey.
The reference to west of the Presidio probably just means that it was west of the location of the barracks and other base buildings, which could mean it was still within the bounds of what we consider the Presidio today. I don't know enough about San Francisco history to know what that land was used for back then, or if it was considered part of the base or not.
Sven