After the dismissal of an appeal by the Supreme Court, no other appeal shall be allowed to or from the same judgment. When an appeal is dismissed by reason of the nonpayment of the writ tax within the time required by law, the Court at its first session after such dismissal may on motion of any party for good cause shown and upon payment of such tax set aside the dismissal; and thereupon the appeal may be perfected as though no such dismissal had taken place. A motion under this section shall be made only after reasonable notice to the adverse party or his counsel.