johnnydoom the player on the highest number hole is always listed at the top of any group that is tied with the same score. Not sure about if they are on the same hole, alphabetical order maybe? At least it has always seemed that way since I started watching golf.
This......
The player who is "out in front" gets the top billing order. You'll notice a player that is finished and has the lowest score will show atop the leaderboard as the "clubhouse leader" even if others are tied with him/her. Same ordering goes down the leaderboard as well.