First, just to be clear, Arkansas is not a community property state.
As far as your name being on the deed, that would mean that you have an interest in the property, but just based on your post we cannot tell what that interest is because while spouses usually take real estate either as joint tenants or as tenants in the entirities, it depends on how your interests are denoted in the deed that sets out this interest.
If you had a joint tenancy, then the property passed to by operation of law when your husband died. If is was a tenancy in common, then it would pass as directed by his will(if he had one or the intestacy statute if he died without a valid will.
The answer to your question will also depend upon whether you were vested with your interest before or after the mortgage was granted.
The mortgage company will have their own rules as far as you assuming the mortgage, but it is not surprising that they want evidence that you have authority to do so on behalf of your husband's estate given the potential liabilities.
It would be best for you to go ahead and contact an attorney to set up an estate and make sure everything is taken care of correctly, and then refinance the mortgage.
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