John, the following appears on page 490 in James F. Brieger's book, HOMETOWN MISSISSIPPI,

In 1884 Clayton was a railroad station located seven miles southwest of Tunica on a part of a large plantation once owned by Judge Alexander H. Clayton, one of the foremost figures in the early history of the County.

Judge Clayton moved to Mississippi from Virginia in 1837 and practiced law in the state for many years. At the time of his death in 1868, he was Circuit Judge of his District.

Googling "Clayton, Mississippi" + history + genealogy + "civil war" produces quite a few hits that may well be worth your time following up on.

Hope this helps you, John.