Re: What's the etymology of Salutius and Salutia?
That actually explains a lot. When people who speak Language A need to use names from Language B (usually the language of their coloniser), they often get close but not necessarily correct, and that doesn't matter to them: their attempts have served their purpose.
I imagine the Jewish ladies who needed non-Jewish names would have selected a name that would work both ways: they didn't have to be named Chaya to use a name that was close to it but still acceptable to the Roman authorities.
May I ask why they didn't need Hebrew names? My understanding is that to be a Jew, you need a Jewish mother, and surely she would have a Jewish name, even if she didn't use it all the time?