N.M. Stat. § 39-3-12
Indigent appeals; free process.
In any appeal, the court may grant free process, including the cost of any necessary
transcripts of record, to any appellant upon a proper showing of indigency, unless the
trial court certifies in writing that the appeal is not taken in good faith. Necessary costs,
including costs of transcripts, shall be paid by the administrative office of the courts. Any
costs awarded to an indigent appellant shall be taxed in favor of the state.