Are you a web site? A you a web address? No, obviously not. Ron Paul was not born RonPaul.com and does not deserve to own that site any more than someone named "Connie Hilton" deserves to own Hilton.com.
Besides, using the logic you've presented Ron Paul's son, "Ronnie Paul" would have an equal claim (by birth, no less!) to the RonPaul.com site.