Hi Ian EDIT: posted this before I realized you'd posted again.

just to be clear we're on the same page, we're talking 2 phase motors - yes?
So, yes - 4 poles, 2 phases (each and every magnet, electro or otherwise has two poles - yes?). A four wire motor has 2 coils - 1 per phase, an 8 wire motor has 4 coils - 2 per phase. You don't need to take a motor apart to consider what would happen if the coils of a phase were in different physical locations. Apart from anything else - how would you pack them in to the available space optimally?. Will try to find a diagram.
Meanwhile, here's some datasheets for motors where the manufacturer has been good enough to give the ratings for each wiring option so we don't have to work them out. If what I'm saying about heating is wrong - why else are the rated values as they are?
http://www.kelinginc.net/NEMA23Motor.html - some are 4 some are 8 - for our purposes check the 8s. Obviously 4 wire motors only have one wiring option.
PS The reason I suspect Jim's motors never get particularly warm is that with the voltage he's using I doubt if they're ever conducting the excess current for long enough. When Jim was running his motors in serial he was
also over currenting them by around 100% and they didn't get warm then. What this shows (to me anyway) is that Jim has never been running his system optimally and until he ups the voltage he never will be. The original question concerned getting more speed - voltage not current, gives speed.
Ian