N.M. Stat. § 37-2-10
[Revivor on death of plaintiff.]
Upon the death of the plaintiff in an action, it may be revived in the names of his
representatives to whom his rights have passed; where his right has passed to his
personal representatives the revivor shall be in his name; where it has passed to his
heirs or devisees who could support the action if brought anew, the revivor may be in
their names.