Never mind (deleted my response after re-reading).Greg V - Maybe I misunderstood the concept and did the split incorrectly. I was under the impression that you move the old hive to a new location, then pull a frame of bees with the queen and place into a new hive at the old location. That is what I did and it left the new hive (in the original location) with mostly the queen and house bees, and the old hive (in a new location) with bunches of bees and no queen. Maybe I should now split the old hive to increase the chances of getting a mated queen.
In theory this sounds OK.
In practice, you want that old hive left alone exactly as-is in its present place (just gutted off the contents).
You move the contents away, but leave the hive behind.
In fact, you can keep the old hive empty for 2-3 days (with a queen in a cage or on a single empty comb) - a very good way to stop a pending swarm.
The hive smell is a very powerful driver - if you move the old hive few feet away, you only confuse the bees (because you now caused their visual orientation to be countered by the smell orientation - it is a chaos for them - they literally can not believe their own eyes as the smell tells them their hive has moved).
With the old hive left alone in its location as-is, the fly back is really a very simple and reliable maneuver and will work every time exactly as it should.