bazzy
They will be 110V and will go up in a puff of expensive smoke if you feed them 240V.
There is a small chance I have a good 240V wigwag, I will look sometime in the next week. (not at my place, it would be at our old house where a relative now lives.)
Have you checked the coils with a multimeter? It is very common for the wires to fail right at the terminal that pushes on to the wigwag. The constant flexing of the wires due to the back and forth motion causes the copper inside to fatigue and eventually break. You can't see it, the plastic insulation remains perfect but the wire breaks inside. You should look VERY closely where the wire joins the terminal, right where the wire enters the crimp, you may find the wire appears to be more flexible at that spot if you jiggle it around. Easiest way is just cut off the terminals, strip the wires and fit new terminals.
You could unplug the terminals from the wigwag, connect a multimeter to the terminals and run the machine to see if there is power to the terminals, but it can be an unreliable test as they may test OK if the broken wire comes together inside, and still be dodgy in use. It really is easier just to replace the terminals, it's quick and easy.
Years ago I got one that would click on and click off at every stroke of the wigwag, this was the broken wire touching and coming apart with each stroke, all happening unseen, inside the plastic wire insulation. New terminals fixed it.
If it is not the terminals and you really need a wigwag, search for MW095, that was a Stokes part number for Malleys Whirlpool wigwag assembly. Allfix in Albury appear to have one listed.
Phone all washer repair places run by grey haired old men ready for retirement, they may have one on the shelf. Country towns are your best bet, more likely to have a shed full of spares that hasn't been culled in decades. And phone around, the places most likely to have the part on a shelf are the least likely to be listing stuff on the internet. Think old school. Over 20 years ago I was visiting relatives in Northern NSW and we went in to an electrical appliance shop in Macksville. They had an astonishing supply of old spares out the back, this would have been 1990s and there were parts for 1950s machines stacked high on shelves. Who knows, they might still be there...?