Hello, I had not tried there. I signed up for the free trial to search and I was unable to find the marriage certificate there. They don't appear the have marriage certificates available from New Mexico from the year range 1920 - 1924 either.
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Dear Ms. Shelton,
Thank you for posting on History Hub!
Since FamilySearch does not have marriage records in the timeframe pertaining to your great grandparents, we suggest that you contact the San Miguel County Clerk and order a copy of your great grandparents’ marriage certificate for a fee. Also, you may want to search the New Mexico Marriage Record Books at the Public Library Genealogy Center in Albuquerque.
We hope this is helpful. Best of luck on your family research!