Supplemental Security Income (SSI) is a federal program that provides financial support for low income individuals with disabilities. If the individual is a child, the family’s income becomes the eligibility criteria. SSI comes with a Medicaid card. Although Medicaid is a federal program, it is state specific. New Mexico Medicaid rules and regulations apply to NM residents.
https://www.ssa.gov/ssi/
How to Apply for Supplemental Security Income - Tipsheet