N.M. Stat. § 45-5A-208
Notice of proceeding.
If a petition for the appointment of a guardian or issuance of a protective order is
brought in New Mexico and New Mexico was not the respondent's home state on the
date the petition was filed, in addition to complying with the notice requirements of New
Mexico, notice of the petition shall be given to those persons who would be entitled to
notice of the petition if a proceeding were brought in the respondent's home state. The
notice shall be given in the same manner as notice is required to be given in New
Mexico.