All my Legal savy people - I need help.

I have been getting help from the county I live in for daycare for my kids. I have 2 kids - girls - 5 and 2 yrs. My oldest child’s father is deceased and my youngest’s father is who I am in a relationship with; engaged in fact. Basically, the daycare help place wants me to file for child support. I really don’t want to do this and he is not very fond of the idea. As of right now I pay $246/month for one full timer and one part timer. My fiancé does not live with me at the moment, but he pays some of my mortgage and car note and insurance because he comes and stays sometimes during the week and drives the car. His physical address is not with me so the daycare people consider him an “Absent Parent” do I, by law, have to sign up for this or is there a way around it??