Dear Ms. Fierro,
Thank you for posting your request on History Hub!
We searched online and located listings for the Masonic Cemetery; Hillcrest Memorial Gardens; and St. Joseph's Cemetery in Las Cruces, New Mexico. These listings include phone numbers. We were unable to locate any information on when they opened.
For instructions on requesting death certificates, please see the New Mexico Department of Health’s website on Death Certificates. The page includes phone numbers to call if you have any difficulty and need further assistance with the process.
We hope this is helpful. Best of luck with your family research!