It the current husband proves that you knew you were still married to the first husband, then you would not be in good faith in coming into the second marriage and you could loose your rights to marital property (HOME IS DIFFERENT). You would have to prove that you did not know nor reasonably could have known that you were still married at the time of your second marriage.
The home is different because your name is XXXXX XXXXX deed and even if you were not legally married, the deed to the house would be as joint tenants, meaning you still own a share of the house and the deed would convert from by entireties to joint tenancy. Of course, the other side will try to argue that as it said "husband and wife" the deed is invalid, but if it does not convert to a joint tenancy then the court has no way to prove which party (husband or wife) would be the true owner. Thus, you still own a share of the house.
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