Sometimes you just get lucky!
The_New_York_Times_Sun__Mar_12__1916_-web-net-64.jpg
March 12, 1916 New York Times article with the photo which states it was taken in Macon the past week, Baker's first week with the Yanks, and has the exact tagline "Baker getting a high throw" that is printed on the back of, and taken from, my photo. It just doesn't get any better than that!
Bain must have printed my photos the first week of March 1916.