New Mexico Territorial Laws and Treaties NM TERR LAWS KEARNY CODE CT & J POWERS § 27

Every summons shall be served at least three days before the day of the appearance therein mentioned, and may be executed either, first, by reading the same to the defendant, or second, by giving a copy thereof to the defendant, or third, by leaving a copy of the summons at his usual place of abode with some member of the family over the age of fifteen years, but in all cases where the defendant shall refuse to hear the summons read, or to receive a copy thereof, such refusal shall be a sufficient service of such writ.