New Mexico Territorial Laws and Treaties NM TERR LAWS KEARNY CODE CRIM PRAC § 26

In all cases where an appeal is prosecuted from a judgment in a criminal cause, except where the defendant is under sentence of death, or imprisonment for life, the court which is authorized to order a stay of proceedings under the preceding provision, may admit the defendant to bail upon a recognizance with sufficient securities to be approved by such court, conditioned that the defendant shall appear in the superior court at the next term thereof, to receive the judgment on the appeal, and abide its division, render himself in execution and obey every order and judgment which may be made in the premises.