I am quite familiar with the area. My grandfather lived in town and I attended the Sooner Boomer launches way back when. If you look closely at that image you will see a 9 hole course snuggled up just to the east of the runway. But that location you have marked looks nothing like a golf course. It may have been one once but it isn't now. I do recall playing (I use that term loosely) golf at a course east of town once long ago. The "greens" were oiled sand that you rolled before putting.Here's a satellite photo of the Medford area. The Medford Municipal Airport is southwest of Medford, marked with the plane.
The golf course is east of Medford, quite a distance from the airport.