Child support

I receive some assistance from the state (Foodstamps) but they want me to cooperate with child support. I don't know who the father is. I don't even know his name. Is that all I need to tell them and they'll leave me alone about it? I'm kind of ashamed of how things happened. But I love my child. It's a sensitive subject. I told the lady for food stamps that but she said I might receive a call from Child support.