If there are people present in the same space with identically-appearing names, they are merely given secondary characteristics (be it family names, explicit pronunciations via yomigana, or some other property) to differentiate. How is that any different from if there are people present in western-language space with identical first names?
The basic question the OP asked, and you did not answer, is: if those names are written the same, how do you know which woman we are talking about?