Greg responds...

We literally just extrapolated from J'onn J'onzz and M'gann M'orzz's names, with the former being a G'arrunn name, and the latter being an A'ashenn name. So you can see there isn't much to distinguish them in our canon that we, as humans, would notice.

Beyond that, we're adapting other DC Martian (and Saturnian) characters to that naming system, i.e. with only a few exceptions. So that's first letter + apostrophe + the rest of the name, with the last letter repeated. For animals, I tried to double vowels with an apostrophe between them, such as Ma'alefa'ak.

Further intricacies, such as why Em'ree J'onzz is considered a G'arrunn name while M'ree M'orzz is considered an A'ashenn name, we're kinda taking on faith. Miss Martian tells us that's the case, and no one - including Em'ree denies it - so we're just going to buy it. M'arzz is a big planet. It's a very intricate system. There would be hundreds of subtleties in naming that we just didn't have the bandwidth to break down any further.

I do wish I had a better answer, but I don't.