Hi Brian,
Seems to me that you need to find the four ends and the four beginnings.
Take one of the coils.
mark the 2 ends of it as A and B.
Then give a DC supply to it, for example 12v.
keep a compass next to it.
From the direction of the compass you can find the top and the bottom. ( A may be a top or B maybe a top, it does not matter, just mark it properly once you discover it )
Follow the same procedure.
Find the other 3 ends and other 3 beginnings.
with this you have 4 tops, and 4 bottoms.
done :)
hope this helps.