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T206Collector...he died a couple of weeks later; but I'm sure he wasn't signing much after the injury!
I don't really know nor have I researched the autograph collecting habits of early 20th Century baseball fans. But it appears that in the 1960's and later the practice of sending cards and other items by mail to ballplayers grew exponentially. So you have a few cards signed contemporaneously by the players -- and a few more just after retirement -- but most of them were signed in the 1960's and later.