N.M. Stat. § 6-10-51
To cover all moneys lawfully intrusted to treasurers.
All moneys, whether belonging to the state of New Mexico or to any county thereof,
or to any city, town, village, municipal school district, union high school district,
independent rural school district, rural school district or to any other special or other
district, board of [or] institution, when lawfully in the possession or custody or under the
control of the state treasurer, or of any county, city, town or village treasurer, or of any
person acting as treasurer of any board in control, shall be considered to be moneys of
and belonging to the state of New Mexico, or of the county, city, town, village or board in
control for which such treasurer or person so in possession lawfully acts.