Alan
It was quite common to power the control gear off 240 volts using only one phase of the incoming three phase. Often the voltage was further reduced to a safer 110 V using a transformer.
I suspect this is how your control side is arranged so the transformer is a 240 V input to 110 volt output (nominal).
There should be a coil voltage marked on the lower part of the contactor. Bound to be underneath or round the back of course and may no longer be legible. If you have a source of coils the can easily be swopped on that breed of contactor.
When you finally wire things in it may be wise to connect the machine light so its always on when the machine is powered up and ready to run. A big warning light really. Especially if you use the little buttons on the VFD to control things as it only takes a light touch to get things moving. Having come "THAT" close to starting something up in a potentially lethally dangerous state I always like the Go button to be distinctly positive.
Clive