When a judgment or final order shall be reversed on appeal, either in whole or in part, the court reversing the same shall proceed to render such judgment as the court below should have rendered, or remand the cause to the court below for such judgment. The court reversing such judgment or final order shall not issue execution in causes that are removed before them on error, on which they pronounce judgment as aforesaid, but shall send a special mandate to the court below as the case may require, to award execution thereupon; and such court, to which such special mandate is sent, shall proceed in such cases in the same manner as if such judgment or final order had been rendered therein. In cases decided by the Supreme Court, when the facts are agreed to by the parties or found by the court below, or a referee, and when it does not appear, by exception or otherwise, that such findings are against the weight of the evidence in the case, the Supreme Court shall send a mandate to the court below directing it to render such judgment in the premises as it should have rendered on the facts agreed to or found in the case.