MLB History: Farthest Advance on Dropped 3rd Strikes?

Question
In MLB history, what is the farthest a batter has ever advanced on either a dropped or PB 3rd strike? Thanks.  

Answer
Aubrey,

I'm not sure, but I'd bet that a batter has gone to 3rd base.  Baseball is a funny game and there had to be a situation where the ball got away and the catcher was lazy going back for it.

Sorry about not having a real answer to your question.

Brian