Wow, a reply post at last!
No is the answer to that, though the same question is asked to that character by almost everyone he meets - in the early books at least. His father and mother (although this isn't quite true) named him Charlie at random, and didn't even know who Charlie Parker, (Bird), was until long after his birth.
He gets called "Bird" by a few folks as well.
He may, or may not, be the incarnation of one of the Fallen Angels, and a lot of the utter bastards he comes up against seem to know this.
He is also one of the most prolific killers of killers in fiction.
Actually, yes, I am reading these books right now, and enjoying them immensely. I haven't been able to read all of them yet, but I should be getting the rest soon. Connolly definitely has his own style, I've never really enjoyed a first person POV story before, but he manages to pull it off splendidly. The characters are amazing also, my favorite has to be Angel though, he's just so ... Angel. I've found it terribly annoying that, for a bestselling series, I haven't been able to find much information or fandom. Hopefully it will pick up somehow. Glad to see another fan!
Argh. Net crashed before posting reply and my memory of what I posted has failed slightly. Oh yeah. I have read all the published Charlie Parker books and short story instalments published so far, and my favourite character, outside of Charlie himself, is Louis. He be scary.
There is a new hard-back coming out this year, and if my dad is a nice boy, he will get it for his birthday. If not, I am getting it for mine, 8-)
Awesome. Hey, is there actually a page for these books, or just the one for John Connolly
? If there isn't, I think I may try to start one.

Am I the only one that reads these? I had planned on sleeping at night this week, then I made the mistake of starting to read these (again). I thought King was scary, and he is. Connolly, though, through the prism of Charlie Parker, Louis, Angel, The Collector and Bliss is fucking terrifying.
There is just enough reality in the midst of the undoubted supernatural elements of the books for one not to completely disregard them as mere beachside fodder, or fit only for airport reading.