This is really interesting news....I'm actually glad to hear that he name is Lightning. Even though it's not that original (such as Cloud), at least it's unique, since you don't see a whole lot of people named Lightning running around. Or Cloud. And, at least in my opinion, it seems to match her. Of course, it could just be a nickname that she's called throughout the game that she could've gotten because of her ability to use electricity.
A bit off-topic, but I did NOT like the bit about KHIIFM being a Japan-exclusive. Oh well. At least there's been an update again. And a pretty good one, as far as I'm concerned. Lightning!