Does the run score?

[DaveASA/FED]

Ok, boy am I glad these happen on other fields! Here is the play, bottom of the last inning, tie score R1 on 3rd 2 outs. Batter hits to the short stop, R1 heading home. Batter runner gets hit with the ball as she is about 2 feet from 1st base (no intentional interference, runner is starting to cross over to touch the single base) BR then misses first base while overrunning it. First base woman picks up the ball and tags the BR before she retouches first base (live ball appeal for the missed base). NOW, R1 has touched home prior to the tag for the missed base. So the big question, does the run score???

My thought is yes, run scores as the appeal is a timing play. The discussion was around whether the batter runner being out is a "force" that would eliminate the run. My thought is no, as once a runner has passed a base they are considered to have touched it, until properly appealed. So my answer is BR is safe at first, eliminating the run canceling affects of the third out prior to reaching first and since the runner touched prior to the tag for the appeal then the run scores, let's go home! Did I get it right???