Chris Creamer's great logo site shows that design of a tiger to have been used in the team's official logos from 1957-63. Based solely on that, my
guess is no earlier than '57 but sometimes logos are used by memorabilia manufacturers for a while after they're no longer in official use, so it could still be a bit more recent than '63.
http://www.sportslogos.net/logos/list_by_team/59