A parent or other legally responsible adult can ask Family Court for a support order for an adult dependent that is developmentally disabled. Spousal support cases are started with a spousal support petition in Family Court.There is no filing fee in Family Court. Will I Pay More Alimony If My Spouse Has a Disability? Louis L. Sternberg and staff work tirelessly to help you protect your long-term financial interests and your maintenance in a Suffolk County divorce. The Family Lawyer can help with your question about qualifying for alimony due to disability and income differences in your divorce. Our firm is prepared to assist you the best way we can, so fill out the form below or call us at (631) 731-1042. Can You Receive Both SSDI Payments And Alimony? SSI payments cannot be garnished for the purpose of alimony or child support. Social Security Disability Insurance (SSDI).