Michelle - both names should always be run - it doesn't have to be in both namesfor it to be a valid judgment against the property - just one name and in the state of Texas if the husband only holds title in the property after the marriage it is still community property and the wife would have to sign the transfer deed and anything in the wife's name would attach to the property.  In my state - it doesnt have to be in both persons name to accept property - the date of the marriage is what counts - it does have to be signed by both parties to sell the property.  Although most lenders want the original deed in both especially when there is a deed of trust involved - but I have seen where the husband took possession of property in his name and when they took out the D/T both parties did sign.