ยง 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 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.
Structure New York Laws
Title 6 - Special Schools and Instruction
Article 97 - Home Schools in Certain Cities
4801 - Establishment of Home Schools.
4802 - Acquisition of Lands and Erection of Buildings.
4804 - Powers and Duties of Managers.
4806 - Powers of Superintendent and Discipline of School.
4807 - Children Admitted to Such School.
4808 - Jurisdiction of Courts.
4812 - Agreements With Parents and Guardians to Pay Expense of Maintenance; Compulsory Support.
4814 - Report of Superintendent.
4815 - Powers of Commissioner of Education and Education Department.