I'm a first time little league coach, and this came up in my second game: who is an improper (out-of-order) batter? To keep things simple and fair for my kids, I kept the same batting order from game 1 in game 2 and just picked up where we left off. My 7th batter made the final out of game 1, so I had my 8th batter lead off. The opposing coach argued that we were batting out of order.
Looking at MLB and LL rulebooks, I find that the definition of the proper batter is the batter listed in the lineup after the previous batter. In every inning after the first, the previous batter is the batter that completed the last at bat of the previous inning. The rulebook does not seem to state whom the proper batter is to lead off the 1st inning, and therefore any batter seems to be proper.
So was my team batting out of order to lead off with the 8th hitter and then proceed 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9....? (10 kids on the team, everyone bats, hence the 10 the spot)