I think I have seen and managed to reproduce the issue with "March to the Sound of Guns" where a supporting stack actually moves to the battle location, without orders to do so. I saw this mentioned in the 1.10b thread, but discussion moved on so I figured I'd start a new topic.
Problem: Playing as CSA, Army of Potomac in Culpeper, VA has no orders. Battles occur in neighboring Fauquier, VA on days 1 and 10, and the Army of the Potomac supports the corps stationed there on both days. Mysteriously, on day 11 Army of the Potomac moves into Fauquier, VA. Since the stack had no orders and was not attacked directly, it should not have moved (to the best of my understanding).
Steps to reproduce (version 1.10b):
I think the big problem with this bug is that it depends on both battles occurring, so you cannot get a completely reliable scenario with the AI in the mix. I've processed the turn five times now I think, and the problem happened in four (but not all five) of the results.
With that understood -
Load turn 12 as CSA (attached - it has my orders and all the files I hope).
Use options: zero commitment delay; standard (non-historical) attrition for both sides; standard activation rule; no AI detection bonus; normal difficulty, aggressiveness and activation bonus; use all behaviors; and give AI more time
(If I've left out something potentially significant for the AI, let me know.)
Go to Culpeper, VA and confirm that the Army of the Potomac has no movement order.
End turn. If both battles in Fauquier, VA occur then Army of the Potomac will be seen moving into that zone.
I've include the resolved turn (13) and logs from one of the times when the problem happened. You can see Army of the Potomac in Fauquier, VA, arriving on day 11 (message 108 of 157 in game, also in the host log).
Hope this helps!