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Dear Mr. Donnelly,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located two series titled Draft Registration Cards for New Mexico, 10/16/1940 - 3/31/1947 and Classification Records for New Mexico, 10/16/1940 - 3/31/1947. Both are from the Records of the Selective Service System, 1926 - 1975 (Record Group 147) and in the custody of the National Archives at St. Louis (RL-SL). For access to these records, please RL-SL via email at firstname.lastname@example.org.
We also searched Ancestry and located the draft cards just for Albuquerque, New Mexico that are available for 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/.
We hope this information is helpful. Best of luck with your family research!