N.M. Stat. § 4-42-9
Establishing county line; joint survey.
Where a boundary line between two counties is to be established, licensed
professional surveyors appointed by the board of county commissioners, or their
deputies, of the two counties affected by the boundaries shall together make the survey
and establish the lines and erect monuments, and all corners set by the surveyors or
their deputies shall be made in strict conformity with the manual of instructions of the
United States.