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Even though she is not liable, she still can be sued. She should win this suit, but she will be put through the hassle of defending herself. This comes from an old theory called "neccessaries", when husbands used to pay all of the nonworking wife's bills. The theory could be applied here. As to defenses, she has many. No, they are his bills in his name acquired before the marriage and without her consent or a guarantee of payment. She did not sigh any contract for the bills. Also, the bills may be too high. Another aspect is credit. It should not go on her credit, but sometimes it shows up. Then she has to get it removed.
So the answer is yes, she can be sued, but she can win. Unless there is a pressing reason for the marriage, she might want to stay single and by his side. She does not need a license from the state to be his soul mate and companion.