Sam,
I think you're looking at time play / force play / runs scoring backwards. The time play / force play / runs scoring rules are about taking an apparent score off the books after the third out is recorded, not adding one on. If the run apparently scores, but the third out was a force, then the run does not score. However, if the out is recorded before the apparent score, unless there is some kind of base award... you snooze, you lose!
There are no situations that I am aware of (I don't have my rule book or case book with me today) where a run would score on a batted ball after the third out, short of some base award. R1 was not awarded home - she was forced home - and that is a big difference.
Long winded way of saying - run does not score.
__________________
Tom
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