Miller, I have a WW Greener, circa 1892 that has 13 on the receiver. Am I correct in your saying that it was not a .710 bore, as there are no other numbers there?
The right bore is .727 and the left is .728. I hope that is the case as it would make me feel better about the bores.
The chokes measure .009 in right and .034 in left.
It is kind of scary looking at the muzzle end.

The barrels measure 27 1/8" and the gun weighs 6 lbs. even.
JDW, if your 1892 date is correct on your Greener, it would currently be out of proof as a 13. As Miller stated earlier, subdivisions to the gauges were added under the 1887 rules of proof. Standard bore size for a 13 was .710, but it could have been as large as .718. .719 was standard bore diameter for a gun marked 13/1. Yours is almost out of proof for a 13/1, with standard bore diameter for the 12 starting at .729.
However . . . "out of proof" due to an oversized bore is not necessarily a safety issue. It does indicate that your bores have seen some honing. But your gun may have started life with very thick barrel walls, and even as overbored as it now is, you may still retain sufficient thickness so that you don't really need to worry about your gun, at least not from a minimum barrel wall thickness standpoint. But if your gun were to be submitted for reproof and your measurements are correct, it would be remarked as 13/1.