Christopher -
Is your black Lady Kenmore a belt-drive or a direct drive?
You cannot put a belt-drive agitator such as a Roto-Swirl into a direct drive, the DD's agitator shaft is not long enough. However, if your machine is a belt-drive, a Roto-Swirl from a standard capacity machine will work. I presume your machine is large capacity. Standard capacity agitators from BDs fit into large capacity BD washers, but they are undersized for the application. Full water levels, especially in the original large capacity tubs, are too high for the standard agitators, but they do work and fit.
Gordon