Grant County Sheriff's officials say 30-year-old Nicholas Grijalva is being held on a $250,000 cash-only bond on suspicion of child abuse.
Sheriff's deputies were called to the child's home last Thursday night in reference to an ambulance call for an unresponsive child who had reportedly fallen from a dirt embankment.
They say Alizandra Jasso was airlifted to an El Paso hospital with life-threatening injuries.
The Las Cruces Sun-News (http://bit.ly/15cYIEn) reports that trauma doctors say the girl had various stages of bruising on her body and the injuries were not consistent with a fall.
The child died on Saturday and an autopsy is planned. Her mother told deputies she saw Grijalva beat her daughter.
Information from: Las Cruces Sun-News, http://www.lcsun-news.com