When the State is admitted into the Union, and the superior courts, in their respective counties, are organized, the books, records, papers, and proceedings of the probate court in each county, and all causes and matters of administration pending therein, shall pass into the jurisdiction and possession of the superior court of the same county created by this Constitution, and the said court shall proceed to final judgment or decree, order, or other determination, in the several matters and causes with like effect as the probate court might have done if this Constitution had not been adopted.