Yesterday my soverign and her army happened to stop on the same tile that a caravan was sitting on.  My soverign has the trait that makes the entire army move at the same speed she does, she can move 6 tiles per turn, and she had a full stack of units with her already.  So at the end of the turn there were 7 units on the tile.

The next turn I selected my soverign and her 5 army brats and move them off in one direction their allotted 6 spaces.  When I went back to move my caravan I found it also had a movement of 6 for this turn, despite no longer being with the soverign.  Guess the Queen had a bit of a chat with the wagoneers as to what was an acceptable rate to push their oxen...