Falling out of play

Well, my son was involved in a "catch and carry" play where he caught a pop-up just to the left of third base and his effort carried him into a small out-of-play area where the coaches sat in two chairs - the other team was awarded a base for each runner. Since this scored a run for the other team I researched it right here on the good old hsbbw and discovered the rule is if the ball is caught in fair territory but motion carries BOTH feet into out-of-play territory, each base runner gets a base. If only ONE foot goes out-of-play, they don't. Federation Rules.

Ball is dead and all runners get one base. Thanks!