And Grimes replied: "X Æ A-Xii (sic)"
The music star subsequently added: "Roman numerals. Looks better tbh (sic)"
Under California law, names must be written on birth certificates "using the 26 alphabetical letters of the English language" - although apostrophes and dashes can be included, too.
Meanwhile, Grimes previously revealed she hopes her baby becomes a fan of raving.
The singer - whose real name is Claire Boucher - said: "Children need to get into raving, but I don't think I'll rave with my kid ... I don't think kids and adults need to rave together.
"But I wish I had discovered dance music at an earlier age. I don't have a problem with late bedtimes/nocturnalism. Unless there's some health risk I should know about.
"The baby has already been exposed to a lot of techno in the womb."
Grimes also revealed she wants to ensure her baby isn't "too spoiled".
She said: "I'll probably have to send them to live in the woods with my grandpa periodically so they aren't too spoiled. He's very intense. Lots of physical labour in the cold and whatnot, haha!"