From the archives of the New York Times, dated 1st October, 1851 (PDF) – this question about the origin of the South Carolina State Flag:

“The Seal of the South Carolina States’ Rights’ Association is a single star, and over it a half moon.”

Quere: What is the signification? – Cour. and Enq.

Doubtless, that chivalry is going over to the doctrines and practice of Islam. The star may be added as a tribute to Charleston, the Mecca of the newly adopted faith.

(via Manan Ahmed at Chapati Mystery / @sepoy on Twitter)

Someone should update the Wikipedia entry accordingly!