New Mexico law does not give a grandparent any automatic rights to custody over their grandchild. Instead, grandparents have the privilege of visitation with their grandchildren and that visitation may only be granted under certain specific instances, which are defined by statute in NMSA § 40-9-2... 

To continue reading the rest of Collins & Collins' article, which provides several useful links pertaining to divorce and grandparents' visitation privileges, go to the Albuquerque Divorce Lawyer Blog. The blog's homepage can be viewed here.