When any prisoner or any person charged with a crime or delinquency is brought before any conservator of the peace, and in the course of the investigation it appears that the person was insane when the offense was committed and still is insane, or was a person with an intellectual disability to such an extent as not to be responsible for his or her act or omission at the time when the act or omission charged was made, he shall not be discharged, but the conservator of the peace shall remand the prisoner to custody and immediately report the case to the chancellor or clerk of the chancery court, whose duty it shall be to proceed with the case according to the law provided for persons with mental illness or persons with an intellectual disability.