Is a person of African descent ,meaning ancestors were of African heritage, that is born in America. America is where the individual was born therefore that makes them "American" as well as a African because of their roots. It is the political correct term of how to identify a person of African descent that is born in America.
Carlton's great grandmother was from Africa, but he was born on American soil to two African American parents that were born in the United States. Therefore he is African American.