The guys are right about the smell, if it has been cooked it will leave you in no doubt. There is actually a reasonable chance that it might survive being plugged into 240V for a short time. I have a 110V fine feed unit on my mill drill that was given to me because it had been plugged into the 240V mains and gone pop. The only thing that had actually blown was an interference suppression capacitor, so it was an easy fix.
The frequency does not matter too much for this type of motor. The speed is not determined by the frequency.
If you do get it going with a step down transformer, make sure that the transformer is a double wound type, not an autotransformer. The difference is that with a double wound type, the secondary is isolated from the primary, which gives you an extra degree of protection with an old unit like this. With the autotransformer type, depending which way around the primary ends up connected, you can end up with 240 V between one end of the motor and the earthed case, which is not ideal on a machine only intended for 110V.
John