The name and address of the other parent. New York State Unified Court System.Under New York law, you have a right to ask the court to modify your child support order. This notice has also been sent to the other party to your child. Gov and accessing the "forms" link. Visit the family court where your court order was issued and complete a Support Petition for Modification form (also known as Form 4-11). There's a DIY form program that you can use to ask the court to change your child support order. In NY one can request a support modification when this occurs. Sponsored Listing: This attorney handles Child Support cases in your area. If your circumstances change substantially or you lose your job, it is important to seek modification as soon as possible.