This part shall apply to clerks of the appeals and supreme courts, who are required to pay over to the county mayor of the county in which the suits originated, as other county revenue, on the first day of January, April, July, and October of each year, all moneys in their hands due to witnesses, officers, litigants, or others, that may have been collected by the clerk from suitors or from the state and county treasury, and that have been in court for more than two (2) years.