N.M. Stat. § 19-4-5
[Notice of suit; intervention.]
Such suit may be brought by any one or more of such occupants, or their heirs,
executors, successors or assigns. Notice of such suit shall be by publication in the
same manner that notice of the pendency of other civil suits by publication is made. Any
party interested in the land embraced within the said townsite shall have the right to
enter his appearance in said suit and to have his interest in the said land embraced in
the said townsite adjudicated and determined.