It seems like most image matches are concentrated in this area of the park i.e. dragons, C, 2 X 3 wheels, floral design on the bridge. Unfortunately there's no google street view available that I could find on the trails.
I may not understand what you have labeled on the map, but Berheim Bridge and Christensen Fountain are not located where you have them on the map. And, they certainly are not next to each other. They are on opposite ends of the park.
So, the base of the "bench", the half circle looks like the bend of the Ohio river on top. Overlaying the map the yellow circle at the tip of the half circle will line up with the bottom corner of Shawnee park; another Olmsted park.