She's a beauty :D
No help on the model number though. I've got a black "standard", an LS-something, I think... I used to worry about it, but gave up.
All I know is that, even though I don't play it that often, it's an absolute joy to play and it's on the list of "can't let that go if I ever have to down-size" (as is nearly every guitar I own! :lol:)