Paternity/Child Support Texas?

live in Texas...
My husband may have fathered another child (prior to us getting together) but the women cheated and decided to be with the other guy she found out she was preg and gave the baby the other mans last name, he is on the birth cert etc..Once he decided he didnt want to be with her she told my husband that it was his baby and started "harrasing" him about it. She filed for child support against my husband and then didnt show up to the first meeting. We got a letter in the mail saying the case was closed because she never responded but she could re open at anytime. Sure enough 2 weeks later he got another letter for another meeting becasue she re-opened the case. She showed up to this one, they were scheduled for a DNA test she was to go right after the meeting and my husband is going today, but this morning we got a letter saying that another meeting is set up because she did not take the kid the get the test!!! I know in Texas if the man does not show up it is his child by default. Its like him saying okay this is my child...but what happens if the woman doesnt go and does not take the kid? please help!!!
Has anyone been through anything like this? I have never had to deal with child support so I have no idea what any of the process is....