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The transparent look isn't from losing layers, it's transparent horn. Most likely, originally a mock-tortoiseshell with spots dyed on. The black side is likely also dyed, but it would have been to...

1805-1815, I'd say.

Unfortunately, there aren't any helpful directory listings that match up with the timeframe for a J. Bagshaw, and there aren't any in the right trade OR time for T. Bagshaw...