Dropped 3rd Strike

[softball22n]

Middle school softball

Runner on 3rd, 2 outs. Dropped 3rd strike on batter. Batter starts running to first as runner on third comes home. Catcher tosses to pitcher who tags runner coming home -- for the 3rd out.

When the team comes to bat the next inning, the same batter who had the dropped 3rd strike comes to bat.

Question:
Should that batter be considered batting out of order since she struck out the inning before, but the out was actually made on girl coming home?

Or -- did the throw need to go first to get the batter out and not the runner coming home for the final out?

Blue called batter batting out of order once scorekeeper questioned prior inning. Did Blue make right call the inning before?

I hope I explained this OK. Any insight would be appreciated.