This practice lasted for some time.
Actually, in ancient Rome the daughters were all called by the feminine variant of the nomen, the clan or gens name. This is the origin of the modern names Julia (Julius clan) and Claudia (Claudius gens).
Individual daughters were often given nicknames based on birth order: Prima, Secundia, Tertia, Major, Minor, etc.
This is the equivalent of me naming my two daughters Big Logan and Little Logan. I don't think that would fly very high with them!