Right season but that is actually a group of friends and admirers from Millville, MA presenting him some gifts at Braves field against the Boston Bees in August 1938. Gabby always looked forward to the Boston trip to be able to see family and friends from home.
The same picture is in this biography on Gabby.
https://smile.amazon.com/Gabby-Hartn.../dp/0786418508
With a caption that the photo was provided by the Town of Milliville J.G. Fitzgerald Historical Society.
Looking at their 1938 schedule, probably one of these dates 8/6/1938 or 8/7/1938 (Doubleheader).