If this firm is a collection agency and they find someone with the same name as your husband, it is likely that they'll attempt to saddle him with repaying these judgments. However, if it is not him that has these judgments, he should eventually be ok - but he may have to fight attempts by this creditor to collect.
My suggestion is to hire a local attorney to represent you in this closing and have him/her send the requested documentation with a letter outlining that the information cannot be used for any other purpose, that these debts are not your husband's and that the documents are provided with the stipulation that the firm waives it right to attempt to collect from him upon its acceptance of the documents.
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