Oh that is messed up! It actually worked! But the key was CANCELING the Render after moving it. If I let it finish or do anything else it just reverted to the original place it was. But once I had moved and canceled it seems to be good there.
The only catch is my other dialogue boxes (i.e. a project loading) still appears in the top left corner. Alas, the Render Box is the most annoying one to see out of place and now that its back in order I don't think the others bug me.
Thanks for the tip Stefan!