That's fair enough, and I admit I was only using my own words in that description. I was thinking in terms of how we humans perceive what He did. I don't think that one Jesus was asleep while some "other" Jesus was acting, or something like that. There is only one united Christ.
At the same time, when Jesus prayed, I do not think He was talking to Himself. Still at the same time, when he physically healed others, I do not think His human nature had to do with that, I think it was from His divine nature. How would you describe the difference I am trying to describe?
Theologically? Honestly, I think you have start here:
http://www.orthodox.net/fathers/index.html
And maybe end there, theologically. It's the most unified, coherent, harmonious... theologically.
Me, personally, right now contemplating this question? I start with One Person, distinct. But I don't split that Person. That's a dead end. And, personally :), I don't have a problem with a Person praying to another Person. That may just be me.
The Word became flesh and walked among us. Ate like us, suffered like us, was humiliated like us, prayed like us. And showed us how to be Truly Human.
But, again, that may just be me.
Thanks for your thoughtful reply...