We are dating this cap to the 1890s even though the provenance of the cap is suggestive of the 1880s. It's the only cap of its type we have come across. All original, showing no outward signs of use. Measures 10 1/4" in width, 7 1/4" in height.
Inside lining.
The above advertisements from the turn of the century are from Antiquefootball.com, in the article "The Football Cap", March 4, 2020.