My father did everything perfectly except setting this annuity up. He had a good will and had my youngest sister as executer. He set it up in all of our names as owners but the idiot that set it up for him put it in my youngest sisters name/SS for when it could be taken out without penalty. We went round and round trying to redo the annuity into 5 individual annuities or to get individual checks. They were not able or willing to make any changes.While no help to 2B, I would think the rest of us would rather avoid this kind of hassle. The outcome of this IMO would have been quite different had 2B's father had a proper Will naming an "Executor" to set up an estate and distribute the assets according to the Will. I believe then, the annuity could have been in your fathers name and the estate would pay the taxes.
We would have all been much happier if he had spent the money himself or had it in his estate when he died. All the annuity did was give away a bunch of fees for poorly performing funds and create a mess for his children as they try to get the money.