Lineup Question

[MOofficial]

I was thinking about this the other day while I was reading the rule book before a game regarding batting out of order. This is all in theroy and would probably never work but if everthing did work out, is it the correct procedure?

Lead off batter is 3-3 in the game with 3 linedrives all over the field.

Bottom of the 7th, no outs, runner on first. Game tied 3-3

Team a is suppose to have b7 up, but with the coach knowing about b1 crushing the ball in the game, he sends up b9 and no one notices until the girl gets a single. As she gets a single someone finally notices the error and notifies the umpire. Now b9 is out (1 out) and r1 returns to first but since she batted out of order b7 and b8 lost their turn to bat and now b1 would be up. b1 comes up to bat with 1 out, first pitch the girl steals and is now on 2nd, 2nd pitch line drive to the right field fence , ball game is over when the runner on 2nd scores.

Is this correct?