Can I still get CHILD SUPPORT if the father has V.A. BENEFITS and the child is born out of wedlock?

I'm 25 yrs old and I have a 4-month old by 45-year Old man who lives in GA and I'm in IL. The father receives V.A. DISABILITY COMPENSATION. We’re not on the best of terms and he doesn't help at all financially! He said they can’t garnish his income. I don't have paternity established but he knows he's the father and is making it very difficult. What steps do I need to take as far as getting child support from different state? How could the V.A. garnish his income? Please I need an answer. Thanks for your time.