N.M. Stat. § 73-17-15
Correction of faulty notices.
A. In any and every case where a notice is provided for in this act, if the court finds
for any reason that due notice was not given, the court shall not thereby lose
jurisdiction, and the proceeding in question shall not thereby be void or be abated, but
the court shall in that case order due notice to be given, and shall continue the hearing
until such time as notice shall be properly given and thereupon shall proceed as though
notice had been properly given in the first instance.
B. In case any particular appraisal or appraisals, assessment or assessments, levy
or levies, shall be held void for want of legal notice, or in case the board shall determine
that any notice with reference to any land or lands may be faulty, then the board may
file a motion in the original cause asking that the court order notice to be given to the
owner of such land or lands, and the court shall set a time for hearing as provided in this
act. And in case the original notice as a whole shall be held to be sufficient, but faulty
only with reference to publication as to certain particular lands, in such case only the
owners of and persons interested in such particular lands need be notified by such
subsequent notice, and if the publication of any notice in any court shall be held to be
defective or not made in time, publication of the defective notice need be had only in the
county in which the defect occurred.