Whether the capacitor is in the circuit shouldn't really matter. If you try to measure across it, you will get something like Mega ohms of resistance. Across the windings you will probably get somewhere between 5 and 50 ohms, defending on the winding design for the motor and which part of the winding you are measuring across.
If you can't get any low measurements measurement across a single terminal (should be almost 0), then your meter,probes or setup is bad. If you get a reading close to 0 across a single terminal, but cannot get a low reading between at least 2 sets of 2 different terminals, then you probably have an open somewhere in the motor. In either of these conditions, I won't be able to help you remotely.
If you can get some resistance measurements, I can help you. Or, as TimPa is suggesting, you should be able to see 2 different wire sizes in the motor windings. If you can tell us what color wires are connected to the different size windings, we may be able to help you.