[Butch7999]

The type font and the spelling of "baseball" as one word might give some clue as to its age...

Possibly irrelevant, but the baseball boardgame accompanying another wicker cap, in a photo
of a Hunt Auctions lot shown in the eBay auction, dates definitively from the early 1920s.
If the game was included in the Hunt lot to lend some 1890s credibility-by-association
to the wicker cap-of-uncertain-age, it has the opposite effect.