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If that income was paid to you as the surviving spouse, you would report it.  It should show your Social Security Number on the form.  The payment isn't subject to social security, Medicare, or FUTA taxes so that should be blank or zero on the form.

If it is reported with his social, you don't need to include it.   That said, normally, the Third Party sick pay after the year of death would have your name and social as I said above.  If it doesn't, you may want to verify the W-2 is correct as reported. 

Also, I am sorry for your loss.