New Mexico Territorial Laws and Treaties NM TERR LAWS ORGANIC ACT § 14

A delegate to the house of representatives of the United States, to serve during each congress of the United States, may be elected by the voters qualified to elect members of the legislative assembly, who shall be entitled to the same rights and privileges as are exercised and enjoyed by the delegates from the several other territories of the United States to the said house of representatives. The first election shall be held at such time and places, and be conducted in such manner, as the governor shall appoint and direct; and at all subsequent elections, the times, places and manner of holding the elections shall be prescribed by law. The person having the greatest number of votes shall be declared by the governor to be duly elected, and a certificate thereof shall be given accordingly: provided, that such delegate shall receive no higher sum for mileage than is allowed by law to the delegate from Oregon.