I did appliance repair for many years but the last 20 of my time for one company so I'm limited to what I know in general terms. If it is "vintage" you should be able to find the information on line. Who manufactured it?Generally the low resistance winding was the 'start' winding.
Brushed or induction? I have a feeling they are quite complex since they have to do slow, fast and both directions.
You talk about 2-phase. Do you mean 2 phases plus a neutral from a 3-phase system or do you mean 220 supply rather than 110 as the USA uses. If the latter then I'm sorry to advise that it's still single phase even if running at 220.
It's actually two separate 220vac phases, through two council meters, and apparently was just to try to balance the council's load. Electric stove, for instance, should be on both phases, perhaps oven on one, plates on other, kind of thing. Stoves are supplied with 3 lines and one neutral connection, and a pic showing how to jumper the lines together for 1 or 2 phases.