You can go to Family Court for a court order for child support from the other parent. Support, Adult Dependent (Developmentally Disabled).Usually, you ask for child support in Family Court in the county where you and the child live. In New York State, a married person may file a petition in Family Court seeking spousal support from a current husband or wife. In New York, married people have an obligation to support one another. A spouse can file a petition in New York Family Court for the other spouse to pay spousal support even if they have not yet filed for divorce. New York utilizes a formula when calculating spousal support and child support. A calculator for determining temporary maintenance and child support payments in New York State. Defaulting on child or spousal support payments is a serious infraction. If your ex is withholding child support, you have options.