I live in Long Island, New York and pay child support. my daughters mother want to enroll her in a private school. Her current school district is Roslyn.
Look at the child support order. The court has the authority to order the noncustodial parent to pay for educational expenses.
Moreover, if your wife is adamant about sending the children to private school, she can return to court to seek modification of the order. It is up to the court to determine if you are obligated to pay.
Also licensed in New York