My daughter's father was in the Navy. I how can I prove this?

I am a brazilian national. I was living with my daughter's father ( A member of the U.S. Navy ) When I told him about the pregancy, he decided not to marry me and later PCSed (Permanent Change of Station). When my daughter was born I got a paternity test, but he refused to do it. I contacted the Navy, and when the Navy finally got back with me they told me that his contract recently expire and opted to seperate from the military. The Navy told me there is nothing else I can do. Is this true? If there is something I can do... what is it?