George Washington
The most famous person to bear the name of America's first president was given the name by himself, rather than by his parents. The legendary agricultural scientist and inventor George Washington Carver was born into slavery, and his surname, Carver, was derived from the plantation owner. After introducing himself as "Carver's George", he was advised to change his name to George Carver, and it is believed that he took "Washington" as his middle name as a young adult, long before his own name became synonymous with his revolutionary work in science and agriculture.
Of course, the name George, and its feminine variants such as Georgianna, have been consistently popular American names for centuries. Not to mention the numerous structures, monuments, and airports named after the first President of the United States.