[greymule]

In the first situation, the coach appealed that B5 batted out of order. Appeal denied, as the pitch to the next batter legalized B5's at bat. However, unless the coach appeals or somebody points out that B4 is now batting out of order, I would simply play on with B4 wrongly batting.

Of course, at this point everyone is going to be asking about B4 being up, so the point will probably be moot and B6 will be sent up to assume the 0-1 count.

To take the play further, let's say B4 continues to bat and gets a hit and nobody appeals. B6 comes up and takes a pitch. The offensive coach sees the mistake, knows that B4's at bat has now been legalized, and realizes that B5 is actually the legal batter. But B5 is on base. I don't have the book here, but if this follows OBR, B5 is skipped and B6 is the proper batter anyway.

However, I once had a coach approach me in the first inning of an ASA tournament with the following question: "Blue, my B4 just batted instead of my B3. You see, my girls batted in the same order as in their earlier game today and didn't know I had changed the lineup. Can B3 take her turn now and then B5 bat?"

B4 had made an out, leaving a runner at 1B and 2 out.

The defensive coach didn't come out or ask what we were talking about. I simply told the offensive coach, "No. She can't take her turn now. She missed her turn and has to wait until she comes around again."

Had the defense appealed before the next pitch, B3 would have been out for the third out. However, they said nothing, so we played on with B5 at bat.

Note that in Fed, B3 would have been out but B4 would have batted again.