dropped third strike

[kchamp]

I need a Federation ruling to clear up a hot discussion at our last umpire meeting.

Situation: Fast Pitch: Batter with 2 strikes on her swings and misses third strike and sheepishly trots off back to her dugout. The catcher short-hops the catch and since the batter is too far away for a tag, elects to toss it to the first baseman (unoccupied 1st base). Alas she overthrows firstbase and the ball is rolling down the outfield foul line. The batter, just steps away from entering the third base dugout, now drops her bat and bolts for first base. Her route is a straight line for first, cutting across the diamond and thru the pitcher's circle. She makes it to 1st before the ball can get back to the infield.

Is she safe? Has she committed any violations? Cites?