In case a bond has been given for a supersedeas, the judgment of the Supreme Court, on affirming the judgment or decree of the court below, or on a dismissal of the appeal by the appellant or the court, shall be for the money adjudged or decreed against appellant, and damages and costs, or for the specific property and damages and costs, or for the damages and costs, as the case may be, against all the obligors in the bond who may be living at that time, and execution may be issued thereon accordingly. If any of the obligors be dead, his representatives may be summoned to show cause why judgment should not be rendered against them on the bond; and if good cause be not shown to the contrary, judgment shall be entered against them in like manner as against the living obligors, and certified to the court below, and execution may be issued thereon.