In case the Supreme Court, or any judge thereof, shall allow a writ of error in any case and order a suspension of the execution of sentence, and, after having heard and determined the same, the court shall appoint a day certain for, and order the execution of the sentence, it shall be the duty of the clerk of the court to issue to the warden his warrant, under the seal of the court, commanding him to proceed to carry the sentence into execution at the time so appointed by the court, which time shall be stated in the warrant. Upon receipt of the warrant it shall be the duty of the warden to cause the sentence to be executed as herein provided, at the time so appointed by the court, and to make due return of the warrant, and of his proceedings thereunder, forthwith to the clerk of the district court before which the conviction was had, who shall cause the same to be recorded as a part of the records of the case.