N.M. Stat. § 73-1-15
[District court procedure; notice.]
Upon the filing of a petition as provided for in Section 1 [73-1-14 NMSA 1978]
hereof, the district court having jurisdiction shall, by order, require notice to be published
by the clerk of the court, at such time and places as the court may designate, giving
notice to all landowners affected by the proposed change that a hearing will be had at a
time and place designated in such notice, for the purpose of determining whether or not
all of the lands described in the certificate of the state engineer filed with the said
petition should be included in the artesian conservancy district, and the decree
establishing the district amended accordingly. It shall not be necessary for the clerk to
name the parties interested, nor to describe the separate lots, tracts or parcels of land
affected in giving such notice, but it shall be sufficient to give such description of the
lands proposed to be included as will enable the owner to determine whether or not his
land is covered by such description.
The notice shall state that any person affected by the proposed inclusion of such
lands shall have the right to file objections thereto, on or before the date set for hearing.
If, after hearing such objections, if any, and considering any evidence introduced in
support thereof, the court finds that the said lands described in the petition should be
included within the said artesian conservancy district, the court shall enter an order
amending said decree, as prayed for in said petition, and thereupon said lands shall be
included within the said conservancy district and shall be subject to the same rights,
powers and authority as given by law to such artesian conservancy district over lands
located within said district.