In FED, on umpire's interference with a throw from the catcher, runners can be sent back to their original bases if, in the umpire's judgment, his interference allowed runners to advance.
In the OP's case, this isn't possible since the batter received strike three. There's no rule to cover this case, so I think you have a 10-2-3g situation. I think everyone agrees that the batter should remain at first in the OP.
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