When the domain name is first registered, your organization should be the owner of the domain name. Changing the owner of a domain name involves a "transfer" form that must be notarized by both parties, and some additional fees. There have been many cases where unethical individuals have registered domain names hoping to "sell" the domain to the companies that should have rightfully registered those names. These are not legitimate registration services, and should be avoided. You should not make your web site's name public knowledge until after a domain name has been registered in your name.