The correct batting order was S1, B2, S2, B4. The actual was S2, B2, and then S1 comes to bat, a pitch is thrown (several, actually, but the at bat is not complete), and then the batting out of order is appealed.
S2's at bat was made legal by the first pitch thrown to B2. B2's at bat was made legal by the first pitch thrown to S1. Since B2 is legal, and since the appeal was made during the improper batter's at bat after a pitch was thrown, the proper batter is brought to bat to assume the count.
Since the proper batter (S2) is on base, she is skipped and B4 is brought to bat with a 2-1 count.
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Tom
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