Hm, I haven't heard these things
I know that grog was based on lemon or orange, in order to avoid scurvy. The full recipe is: rum, cinnamon, hot water and lemon juice. Variations also occur
The name comes form Captain Grog, who invented it. And his name comes from the coats he used to wear (I don't remember the full story, but I guess 'grog' was a kind of naval coat)
You can find recipes online. I also have contributed
here
