Isolation Transformer with 115kV primary
Let's get something straight: are you REALLY talking about a 115 kV i.e. 115 000 volts transformer? You should NEVER touch any parts of such transformers when live nor even go near any for that matter. Power transformers of such voltages almost never have a floating ground because they're almost always made as autotransformers i.e. with a single winding where the secondary taps into the winding somewhere, thus they share a common ground. The reason they do this is because they need to have voltage regulation on one or both sides.