Batting out of order
 

Nfhs
Team A has batted out of order , with several players before Team B discovers it.
The umpire informs Team B that the line up is now legalized since no appeal was properly made.

B4 is on second base and she is the pitcher, her time at bat is coming up.
Team A, elects to put in a courtesy runner so she can bat again. Is this legal?

Or, the courtesy runner is legal, but you skip her time at bat because of the courtesy runner being on base?

Penalty:( Art. 1, 2): #6"states that when several players bat out of order before discovery so that a player's time at bat occurs while she is a runner. Such player remains on base, but she is NOT out as a batter."

I'd go with not covered by the rules, skip the pitcher's turn because her courtesy runner is on base. Also, I assume B4 is a team ***A*** player, otherwise we have a lot more to unpack here.

From 6-1-1 in the book:

So, No, it is not legal to take the pitcher off second base by replacing her with a substitute or a courtesy runner. You can enter a sub or CR for the pitcher at second, but that person still represents the proper batter who gets skipped.

I agree with your conclusion here though your first sentence should read "So she can bat" at the end. But do you get there by anything other than not covered in the rules, spirit and intent, etc?

I think you mean 7-1 Penalty 6.

Of course not, as that would be a sub and starter in game at the same time.
The CR rule places the pitcher or catcher out of play, so also could not bat. '

That implies that the player who does bat after the above is not BOO, even though they are not the "proper" batter. :)

Yeah, sorry; I was a little distracted when I was typing that, and hit Submit before I proofed it. :p