When I played (Fred Flinstone and Barney Rubble were on the team) one loss anywhere and it was over. My team made it through districts and states before losing in divisions.
Before LL was reformatted into eight American regions there were four. The New England teams had to play divisions for a slot in the Eastern Region.
Almost fifty years later I can still visualize popping out to short to make the last out in the game we were eliminated.