New Mexico Statutes Chapter 1. Elections § 1-15-7. Presidential electors; when governor fills vacancy

In the case of the death or absence of any presidential elector or failure to complete the number of presidential electors by noon of the day fixed by the laws of the United States for presidential electors to cast their ballots, the governor shall fill any vacancy by appointment. In filling the vacancy the governor shall appoint a voter of the state from a list of names nominated by the state chairman of the same political party represented by the presidential elector whose death or absence caused the vacancy.