Now the
"Cowtown Drive-in" was at RiverOaks and Jacksboro Highway. Could that be what you want. I don't recall another one being on River Oaks. I do recall one called the Westerner, but don't recall where it was. Unless it was the one near Azle on Hwy 199.
Seems like traces of the Cowtown might still be there.
Search the rest of the site. Maybe the Westerner is buried in there somewhere.
Edited to add...There used to be a Drive-in near the West end of Camp Bowie at AltaMesa(???), if I remember my street names correctly. That may have been called the Westerner. ???????
I was in Ft Worth in 1960-62 when they
all were still in their HeyDay. And I went nearly every one of them, at one time or another, with my girlfriend.(now my Wife

) But that was a looong time ago to remember all of their names.