Here's my logical conclusion. Of course, I'm assuming the old photographs are marked correctly as to where the photos were taken.
The Ty Cobb photo has the same background structures as the Lajoie photo, marked in red. There's also the ubiquitous smokestack.
The Lajoie photo has the same background elements (and probably a million more that I didn't assess) as the overhead picture of Hilltop Park, marked in blue.
I'm all CSI over here. Haha. To me, it's undoubtably Hilltop Park, NYC.
hilltop.jpg