I would assume that you reside in the USA. I believe that you should be able to deposit the checks to your account without issue since the check DOES have your name as one of the payees. IF the checks require both endorsement signatures, which is rare, you may need to produce a death certificate for your aunt.
I would deposit it and see what happens...If there is a problem, the bank just won't clear the money and will notify you of such problem.
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As always bonuses are always welcomed and highly appreciated.