The order is written against him not you. The law only allows execution on an order as against the party named therein. However, it can come to a point where your assets are attached if they are held jointly. Also your tax return. You should seek consultation about filing separately.
If your husband is not working he should seek for modification of the support order. Be careful also because some states will include your income in the computation of child support amounts. I would get some legal help in your area on all of this.
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