You do not have criminal liability for the wrongs of your husband. This is his obligation. The only thing that would change my answer is if you were also charged in the case or the court also directly ordered you to pay.
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This answer is offered for informational purposes only. It is not offered as, and does not constitute, legal advice. Laws vary widely from state to state. You should rely only on the advice given to you during a personal consultation by a local attorney who is thoroughly familiar with state laws and the area of practice in which your concern lies.