@conceredtxdad,
If this child is in danger, why aren't you calling Child Protective Services? And getting another attorney? Yes, they've told you that they allegedly can't do anything. I suspect, without looking it up (
ask someone admitted to practice in Texas. I am not), that there is a presumption in favor of whoever signed off and swore they were the father (looks like there's also a
marital presumption), versus DNA testing.
Either way, social services will or at least should hop to it if a child is in physical danger. Push
a lot harder on this and work the 'child in danger' angle (you will need to prove this). You may find yourself in a class action suit with other fathers in a similar predicament, or taking an appeal to the highest court in Texas. That all takes a while, and it's not cheap. There's also no guarantee of success, but from this end it just looks like the lawyers you talked to decided to fold without really trying.