Stengel managed the Yankees from 1949-60...
...Maris joined the team in 1960, and Mickey was a rookie in 1951, so the ball has to be between 1951 and 1959. Vic Raschi was with the team from 1946 - 1953, so the ball is likely 1951, '52 or '53.
What throws me is that Bill Dickey played from 1928 - 1946!? Maybe he coached after that, but that would be weird, since Dickey wore the same number (#8) as the Yankee catcher of the day, Yogi Berra (whose real name was Lawrence Peter Berra).