No stealing home. Runners can only score on: i. A batted ball ii. A base on balls or hit batter with bases loaded or dropped third strike with 2 outs and bases loaded iii. An awarded base when the ball goes out of play to include a pitch that goes out of play. If they advance home they are liable to be put out. At end of play if the runner is safe and has advanced the umpire will return the runner to the correct base. There is no "continuation of play" on overthrows to any base with a runner at third.  There is no "just keep running" when the ball is in the infield.