The correct title of the inherited IRA would be "Ms. Customer, beneficiary, Joanne Smith, IRA." The IRA custodian has wrongly decided that it should carry over the name of the account to the check it issued as a distribution; i.e. the check should have just been payable to "Ms. Customer," the rest of the verbiage is surplus.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.