I don't know if it was called a Lady Smith but they were popular with Ladies way before it was called a Lady Smith.
There is a very good example of one from the 50's--all engraved--at the YO museum in Kerrville--carried by the ranch owners wife.
Uses to see a lot of them in ladies handbags and glove compartments.
When we were kids we were not into seeing ladies underthings but into looking in glove compartments to see what kind of guns they had in them.
Blessings

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TEXAS, by GOD