No US presidents were named Nathaniel.
The only U.S. President with a U.S. National Park named after him is Theodore Roosevelt, the "Conservationist President". Theodore Roosevelt National Park is in the Badlands of North Dakota.
The presidents represent a national icon of the United States.
It was named after George Washington one of the famous US presidents.
Mrs. Herbert Hoover was named Lou.
Washington county
One, Lincoln
YES
Mt. Rushmore is not "named after" any US Presidents. It's named after Charles Rushmore, a lawyer from New York. The presidents whose faces are carved on it are Washington, Jefferson, Lincoln, and Theodore Roosevelt.
NC has counties named Cleveland, Lincoln, Polk, and Wilson but none of them were named for a US President. ( It also has Jackson, Madison, and Washington counties which are named for US Presidents. )
Jefferson city
Dover and Harrisburg