Usually most philosophies are not covered in any manual. At least not one produced by the NF.
The way I was trained was to have the person who had the player (originally), stay with that player until they come back to the floor or they get under control.
As said, this is why you need to talk about this in pre-game. You need to know if anyone has different philosophies or opinions on what should be done. Then adjust to what ever you can agree with.
Peace