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Dear Mr. Velez-Ibanez,
Thank you for posting your request on History Hub!
To determine if there are census records for New Mexico or New Mexico Territory, please refer to NARA’s web pages at https://www.archives.gov/research/census/microfilm-catalog/1790-1890. There should be U.S. Census for New Mexico or New Mexico Territory in 1860, 1870, 1880, 1900, 1910 & 1920. Most of the 1890 population schedules were badly damaged by a fire in the Commerce Department Building in January 1921, including those for New Mexico. The Special Census Schedules of Surviving Union Civil War Veterans or Their Widows, 1890 includes the entire New Mexico Territory and can be used as a partial census for 1890.
For access to the census records via microfilm, please contact the National Archives at Washington, DC (RDT1) via email at firstname.lastname@example.org. Many of them have been digitized for NARA by Ancestry but unfortunately, digital images for New Mexico are not currently available via the National Archives Catalog.
We searched Ancestry for U.S. Census Schedules that include New Mexico either as a territory or state.To view these records, there may be a fee. Or you may view these records online at one NARA's facilities for free via ALIC. For the nearest NARA location, please consult our web page at https://www.archives.gov/locations/. Also, some of the images from Ancestry are available for free on Family Search at https://www.familysearch.org/en/.
We hope this information is helpful. Best of luck with your research!