In your hypothetical example -- assuming CoolCorp LLC was indeed the copyright owner -- a statutory copyright notice would be "Copyright © 2010 CoolCorp LLC"; there'd be no need to include the URL or name of the site.
I _have_ seen notices that say something like, "NewSite Copyright © 2010 CoolCorp LLC"; I'm not aware that adding the NewSite name like that would cause any problems.
Same disclaimers apply - I'm not your lawyer, etc.
In your hypothetical example -- assuming CoolCorp LLC was indeed the copyright owner -- a statutory copyright notice would be "Copyright © 2010 CoolCorp LLC"; there'd be no need to include the URL or name of the site.
I _have_ seen notices that say something like, "NewSite Copyright © 2010 CoolCorp LLC"; I'm not aware that adding the NewSite name like that would cause any problems.
Same disclaimers apply - I'm not your lawyer, etc.