If filing a joint return and both taxpayers are deceased, complete a. For paper returns, the filer should write the word deceased, the deceased person's name and the date of death across the top.File the final income tax returns of a deceased person for current and prior years, pay any balance due and claim the refund. File an estate income tax return. You should also complete and file with the final return a copy of Form 1310, Statement of Person Claiming Refund Due a Deceased Taxpayer. You'll need the person's Social Security number and certified copies of their death certificate for most agencies and programs. Social Security and Medicare. The federal estate tax return ("706") also essentially takes a snapshot of a decedent's balance sheet as of the date of death. If the matter relates to estate tax, enter the decedent's date of death instead of the year or period. This is the easiest way to electronically fill out the forms and prevent losing any information that you've entered.