Everything I've ever heard is him playing for BLoomer Girls in Kansas. I think the two cards have the same guy but I wouldn't make the leap that it is also Joe Wood. Especially since he isn't known to have played on the Boston Bloomers. I actually don't even think they look all that much like Wood.
That being said, I've seen cards at other auction houses and on ebay where the claim of the person being on the card is not the case. Take this for example...
http://www.ebay.com/itm/1907-Carlisl...00875663359%26