No outs, bases loaded, ball hit to short. Runner on third scores. Runner on 1st is forced at second (called out by ump). Runner on second advances to third. Second-baseman throws to first to attempt double-play, and runner now on third scores as throw slightly gets away from first-baseman. Runner who was called out at second advances to third on overthrow, claiming later that he didn't know he was called out (umpires didn't notice that he didn't leave the field after being called out). Batter-runner remains at first, so plays ends with runners on first & third with one out recorded. Inning continues with defensive team & coach thinking that the runner on third was originally the runner on second that did not score on slight overthrow to first (in the confusion of the play they did not see the runner originally on second score on overthrow to first). Two outs are recorded in a row with no runners advancing, and inning ends. Defensive team says one run scored, offensive team says two runs scored. Offensive team's parents and coach admit later that they knew the runner on third was called out and shouldn't have been there, and they intentionally said nothing (hoping of course that he would score).
Umpires review scorebooks of both teams, and end up siding with the home-team scorebook (the defensive team during the confusing play). Was this right? What should have happened?
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