In every FF, I name my Summons/ Aeons something different. In FF10, they are:

Valefor: Efora
Ifrit: Agais
Ixion: Rai
Shiva: Glacial
Bahmut: Ragnarok
Anima: Hell
Yojimbo: Genji
Mindy: Ruby
Cindy: Sapphire
Sandy: Jade

I think your personality comes out when you name Aeons.
I also called my main hero Jake. My second best guy is Matt, and my girl who falls in love Claire. I like those names. Also if I have to name an odd character ( RedXIII, Cait Sith, Quina) I name it after my pets...