My son was born 4-13-2007 and I need to add him to my policy. I have called to 800 numbers and can not get to talk with a live representative. Any help I would appreciate. Thank you A: If you need to add a new dependent to your insurance policy, you should contact the insurance company directly. There should be a phone number located on the back of your insurance card. COBRA is not the name of your insurance; it is the name of the federal law that allows you to continue on your employer ‘s group health plan when your insurance has been terminated.