Let me start out by saying that I know very little about woodworking.
I turned the wood first to just slightly bigger than the finished grip. I then added the cork and shaped. I was concerned the transition from cork to wood might not be clean because of the difference in hardness when sanding. Was afraid I would remove too much cork and not enough wood. This was the first one I tried, but may get some cheap wood and try the other route. Again, this is what worked for me.
Thanks again for the kind words.