N.M. Stat. § 45-3-914
Disposition of unclaimed assets.
If an heir, devisee or claimant cannot be found, the personal representative shall
distribute the share of the missing person to his conservator, if any. Otherwise, the
personal representative shall sell the share of the missing person and distribute the
proceeds to the state treasurer as prescribed by the Uniform Unclaimed Property Act
[Chapter 7, Article 8A NMSA 1978].