I have an ex girlfriend that lives in another state, the last custody court on file, she was told she had to work, and that she couldn't collect state aide, to collect child support on children I haven't seen in about 13 years I pay child support not by court order but through DES and now she is trying to take me to court for support again on the youngest one that I am not claiming as mine. She is a golddigger and is only out for money always has been, when she was living under my roof she was collect child support and wouldn't be honest and tell them she was living with me. I want to sign my rights over on children that I have nothing to do with, I need help

Did you sign anything claiming you were the father of the youngest? A birth certificate or letter acknowledging paternity?
If not then (or even if you did) demand a paternity test to prove you are not the father.
If you didn't sign anything then you have no rights to sign over.

Also as far as the ones that are yours make sure you keep all proof of payments.
If she is trying to get support you need to do whatever it takes. Go to court, prove you aren't responsible for this one.
Some states I believe do require you to pay if you signed something but if you can prove she deceived you I am not sure.

Yes, all child support should have been though the courts, I do hope you have all of your receipts.

The support for children does not matter who she is living with, or even if she is collecting welfare, at least in most states, it only depends on incomes.

Giving up any rights ( unless it is for adoption) does not stop your obligation from paying support, but in most US states you can't just sign your rights over anyway

No court will terminate your rights so you can get out of paying child support. So forget that.