Can I be held responsible for paying child support if I signed a birth certificate of a child that was not mine (am not the biological father)?

In 1999 I was in the military, boot camp actually, and was in correspondence with a girl back home. I had written her to let her know that i thought of her regularly and she wrote back. She had her baby and since we were seriously involved, I signed the birth certificate because the mother was part of my life now and the baby would be too (the biological father wasn't around). I stepped up and took the kid in. a year and a half later, she says she has been unfaithful and wants a divorce so she can move in with her new boyfriend, the man she was cheating with. that was in july 2001. it is now august 2006, and she sends me a letter that she is sueing me for child support on the child she was pregnant with when we first got together. my questions are: does she have a case? what are my options? will a paternity test be enough to clear me? If i do have to pay child support will i owe back child support as well? She ran off and since I haven't seen her in nearly six years, we never got an official divorce. Is that going to be my downfall?

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