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The Other One (Julie)Barry Sloate fixes the date as "very early--probably 1840" (Mark Macrae had said 1840-60), and says "if the bat seems even--if you can tell--it's probably baseball; otherwise, it's probably townball. Drawing may not be detailed enough to get this kind of information.
Neither Barry nor David are remided of a line drawing in a 19th century book--so I probably made it up.