§ 4807. Children admitted to such school. Children not more than eighteen nor less than eight years of age may be admitted to or received in such school as follows:

1. Upon the application of the parents or guardians having the legal custody and control of such children accompanied by the written consent of such parents or guardians.

2. Truants, incorrigible pupils or children coming within any of the descriptions mentioned in section thirty-two hundred fourteen of this chapter upon commitment thereto either by the school authorities or by a court having jurisdiction thereof.

3. Children coming within any of the descriptions mentioned in sections four hundred eighty-five and four hundred eighty-six of the penal law upon commitment thereto by a court.

4. Children under twelve years found guilty of juvenile delinquency.

5. Children over twelve and under sixteen years of age found guilty of juvenile delinquency for the first time and for an offense of a grade not higher than misdemeanor.

Children resident in the city establishing such school duly committed thereto shall be received therein. The board of managers may in their discretion and upon such terms as to payment of expenses as they see fit, admit children resident in the county in which said city is situated or resident in any adjoining county not having a city to which this article applies.