"Sixteen district courts provided the backbone of the confederate judicial system...Appointed in each district was one judge, one district attorney, one marshall, and one or more clerks of the court. The court staffers included deputy marshals, criers, commissioners, and a few auxilary officers. Most auxilary officers and attendents were paid from monies derived from court fees, a fact which makes it most difficult to estimate their number. Thus, when Confederate jurisdiction was widest, there were sixteen justices, sixteen district attorneys, sixteen marshalls, an estimated fifty-four clerks of court, and a miscellaneous group of criers"
-- From Paul P. Van Riper and Harry N. Scheiber, "The Confederate Civil Service" in Journal of Southern History, 1959
But no supreme court.
...and a miscellaneous group of criers
One of whom had to be Davis, if your accounts of his intentions are to be believed.