Wolfgang, I am usually up at 3 or 4 AM EDT and on the computer for a bit. Yes, it's early, but I am afflicted with old man's disease (early to bed---early to rise). Just had my 60th birthday!

The only grounding I did was to connect my 208 volt system ground to the ground lug on the transformer case, and also to put the ground going to my saw under the same lug.

Since I was not creating a neutral, I did not re-ground it.

How does one go about grounding the high side windings?

If I sound dumb, it is only because I am...LOL...about transformers, that is. There is a lot to know and a my work has never involved them very much other than lots of 45-75 KVA dry types in large schools. Those are 277/480 to 120/208 and are pretty straightforward.