I think it's Choco. Or whatever the name of the Chocobo you ride on is called.

First verse: Line 1: You find Bobby Corwen, ickle baby chocobo.
Line 2: Hmm...not sure about that one. The BMV is in a canyon...
Line 3: This line refers to Big Fat Chocobo in the sky.
Line 4: It's only one place =/

Second Verse: Line 1: Choco learns lots of talents from Chocographs.
Line 2: Hmm...innocent little moogle runs the place where you find chocographs, and Choco's kin are in the sky place with BFC.
Line 3: Some people find finding chocographs annoying, and also, Ozma's a real git, so after struggling with all the 'graphs, you might get owned. But the treasures you get from 'graphs are very nice. Very nice indeed.
Line 4: If you find all the chocographs.

It sounded less likely as I went through, but I'll stick with it.