We have a name...

Here's how the conversation went
Jenny: Max, we really need to pick a name for the baby.
Max: Lightning McQueen
Jenny: How about Lia?
Max: Yeah, I like that name, that's a good name.
Jenny: Do you like the name Claire?
Max: No, I only like Lia.

And so, we now have a name for the baby!

Lia Michelle

Max's other names included:
Purple Guy (another character from the Cars movie that we don't know his real name)
Ava (so we could have 2 Ava's)
Mater (do you see a Cars theme here yet?)

I'm out!