N.M. Stat. § 4-25-4
[Precincts and school districts remain the same.]
The precincts and school districts heretofore existing in San Miguel county and the
officials thereof shall be and remain the same as they were until changed according to
law. The area included in the county of Jefferson which is not within any precinct or
school district of said county may be organized into precincts or school districts in the
manner provided by law.