Rochester vs. Buffalo - need a year

[GGterps]

Have this catcher's mitt ad for a baseball uniform, an apparent give-away at a Rochester vs. Buffalo minor league baseball game. The date is June 27th and it was held at Bison Stadium. If I did my research right June 27th fell on a Saturday in 1931, 1936, 1942, 1953 and 1959. Does anyone have a schedule or can determine what year this is from? It appears to be from the 30s or 40s.

Thanks,
Greg