Ronald Reagan
The name "Ark Royal" goes back to Sir Francis Drake, in 1588. The name then lay dormant until 1913; the current HMS Ark Royal is the fifth ship to bear the name. Look HERE for details.
As to which is a cooler name, de gustibus non disputandem. If I were a Brit, I'd probably agree with Illbay. I'm not, though. I'll go with "Enterprise".
AB