Ah, Adam, very nice - 4 dollars for seven holes. The people of Potter can grab a hotdog and a soda pop and play a round of golf all within their lunch hour, and for under 10 dollars. That's still golf, right? (Answer: yes, yes indeed.) Why does it have only 7 holes? Maybe THAT'S why.
As to an actual guess, boy: is it the original 'sheep ranch' (or cow or-horse ranch) and the 7 holes were the only ones they could fit in between the fences?
Peter