As far as I know, the live CentOS CD doesn't support installation. (DISCLAIMER--this might have changed, but I don't use the live CD).
Unetbootin doesn't seem to work very well with RH based systems--if one puts the first ISO of the CD set on the stick, at some point, it dies, saying it can't find the image. They do seem to have a Fedora and CentOS option, but I think that downloads the whole thing from the web.
What I have been able to do is start the install, and then choose a network installation, either from NFS or using a website. (I've only done the latter with Fedora--with CentOS, I've always just put the ISO in an NFS share.
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