Hi:
Let me take a wild guess as to the type of transformer you have. I believe you have one with two primary windings, and one center-tapped secondary winding. Typically, this type of "flash" circuit uses a single transistor Armstrong-type oscillator. The main primary winding is connected to the supply, and the collector of the transistor, and the other primary winding provides positive feedback to make the circuit oscillate. The secondary winding is center-tapped to get full wave rectification using two diodes instead of a bridge rectifier. The rectified output then charges the main flash capacitor through a current limiting resistor.
If that is the case, you should find continuity between the two pairs of the side with four windings, but not between the pairs themselves. On the side with the three connections, there should be continuity between all three wires. Generally the secondary is made of thinner wires (and more turns). Therefore, the DC resistance will be higher, but not in proportion to the turns ratio.
Jem