N.M. Stat. § 73-21-23
Inclusion [of additional property].
The boundaries of any district organized under the provisions of this act may be
changed in the manner herein prescribed, but the change of boundaries of the district
shall not impair or affect its organization or its rights in or to property, or any of its rights
or privileges whatsoever; nor shall it affect or impair or discharge any contract,
obligation, lien or charge for or upon which it might be liable or chargeable had any such
change of boundaries not been made. The owners of real property may file with the
board a petition, in writing, praying that such real property be included in the district.
The petition shall prescribe the property owned by the petitioners, and such petition
shall be deemed to give assent of the petitioners to the inclusion in said district of the
property described in the petition, and such petition must be acknowledged in the same
manner that conveyances of land are required to be acknowledged. The secretary of
the board shall cause notice of filing of such petition to be given and published in the
county in which the property is situated, which notice shall state the filing of such
petition, names of petitioners, descriptions of lands mentioned and the prayer of said
petitioners; giving notice to all persons interested to appear at the office of the board at
the time named in said notice and show cause in writing, if any they have, why the
petition should not be granted. The board shall at the time and place mentioned or at
such time or times at which the hearing may be adjourned, proceed to hear the petition
and all objections thereto, presented, in writing, by any person showing cause why said
petition should not be granted. The failure of any person interested to show cause in
writing shall be deemed and held and taken as an assent on his part to the inclusion of
such lands in the district as prayed for in the petition. If the petition is granted, the board
shall make an order to that effect and file same with the clerk of the court and upon
order of the court said property shall be included in the district.