The USS Cook was named after Donald Cook.

USN battleships were named after US states; such as the USS Arizona, USS California, USS Nevada, USS New York, USS Texas, USS Tennessee, USS Oklahoma, USS Alabama, USS South Dakota, USS Washington, USS Mississippi, USS West Virginia, USS Utah, etc.

there were 8 frigates on the American sife- the USS Constitution, the USS John Admas, the USS President, the USS United States, the USS Constellation, the USS Boston, The USS New York, and the USS Congress

To name a few:

USS Bismarck Sea

USS Lexington

USS Yorktown

USS Hornet

USS Wasp

USS Princeton

USS Gambier Bay

USS St. Lo

USS Liscome Bay

USS Enterprise, USS Lexington, USS Saratoga, HMS Ark Royal, USS Franklin D. Roosevelt, USS Hornet, USS Yorktown, USS Essex, USS Nimitz,USS Ronald Reagan, and many others.