What happens if in Houston, TX you are served with divorce papers but you refuse to sign them? What happens, do you go to court?
If you don't answer, your spouse will get a default judgment, most likely on whatever terms they want. If you answer, either the two of you will agree on a settlement, or the case will be tried and the court will divide the community property and make provisions for child support and visitation.
I recommend you talk to a lawyer as soon as possible to determine the best course of action in your case.