On the Greek side this has been done, the Greek Lexicon of Personal Names is an effort to find all Greek names down to 600 CE. https://www.lgpn.ox.ac.uk/. You might want to try using that as the basis of your map.
In general the word 'prosopography' might be helpful for you. There's been lots of work over the centuries on analyzing large groups of people in antiquity.
In general the word 'prosopography' might be helpful for you. There's been lots of work over the centuries on analyzing large groups of people in antiquity.