Pure speculation, but based on the hints we've been given and in-game characters, I'm assuming female Raen Auri names are going to follow a <Japanese name> <Nounverber> pattern.

It's stated they follow naming conventions similar to Doman names due to close relationships with them; the only major non-Auri Doman characters with full names so far are "Oboro Moonrise," "Tsubame Sunrise," and "Karasu Redbeak." "Yugiri Mistwalker" follows almost the exact pattern, except adding -er on the end (instead of "Yugiri Mistwalk").

Not sure if anyone else noticed this or what the naming conventions for male Raen Au Ra or how Xaela Auri names will be like at all, but I wanted to throw it out there.