Here is a new listing on ebay of other photos that appear to be from the same old timers game
https://www.ebay.com/itm/29505849572...&segname=11021
Assuming all these photos are from the same day, the first one shows Phillies Manager Steve O'Neill sitting in the dugout. Steve was the Phillies Manager for the last 91 games of the 1952 season through the first 77 games of the 1954 season.
So the photo the OP showed above has to be from that time frame.