I have a thread running about the 3 speed fan. I made measurements of a known good 3 speed fan. I have 3 sets of resistance measurements, with the fan switch in H, M, and L. Here is a diagram showing the points from which I made the measurements.
The only parts I think you need to add between points A, B, and C are a winding, a winding with taps and a 4 position switch, H, M, L, and off. It's possible it has another winding, maybe two windings in parallel, I just don't know. I have tried many combinations, but could meet the resistances. If you get withing two ohms your good. I didn't record anything on the right side of the decimal point. If there is some other part in a 3 speed fan motor that I'm missing try it. The logical part is to install the parts so that you get the resistances as shown from A to B - A to C - B to C.
Here is one motor schematic, I worked with for a while, but it would not fit all the criteria setup by the resistances.
Mikek