They say 25-year-old Martha Alicia Guerrero-Rivas has been arrested on suspicion of one misdemeanor count of making a false report.
Police were dispatched to the report of a missing boy around 4 a.m. Saturday.
Officers canvased the immediate area, and investigators questioned Guerrero-Rivas, who denied to police about having knowledge of her son’s whereabouts.
But about four hours later, police say Guerrero-Rivas remembered allowing her son to stay the night at a friend’s house.
Officers went to that home and located the boy there.
Police say the New Mexico Children, Youth and Families Department has taken custody of the boy.