There's this woman, Allia Potestas [1], who is notable just because we happen to have her epitaph, and the epitaph happens to mention details of some sort of polyandrous relationship configuration that she had. I doubt she would be notable if she lived today.

Additionally, I'm pretty sure that poetry in Ancient Greece was if anything more commonplace than it is today, and not necessarily some high action of the literati. I think we're used to a world where the marginal cost of reproducing creative works is very low, so everyone can hear the same songs and read the same books as everyone else - before the era of easy reproduction, I think you had a lot more "local talent" generating their own little poems, songs, plays, etc.

1. https://en.wikipedia.org/wiki/Allia_Potestas