N.M. Stat. § 58-10-58
Lost or destroyed evidence of ownership.
A new account book or certificate may be issued in the name of the holder of record
at any time when requested by the holder or his legal representative upon proof
satisfactory to the association that the original book or certificate has been lost or
destroyed. The new account book or certificate shall expressly state that it is issued in
lieu of the one lost or destroyed, and the association shall in no way be liable thereafter
on account of the original account book or certificate. The association may require
indemnification against any loss that might result from the issuance of the new account
book or certificate.