I got quite desperate as I wasn't missing out by a few millimeters but by centimeters! Luckily I have a husband with a mathematical mind and he helped me sort it out. It all depends on determining the exact opposite points of the cup and pot. Then start measuring your distances from there.
Now they match perfectly!
On the lid of the pot it says:
I''ll be your lighthouse if you'll be my sea....
Isn't that beautiful? I wish I had thought it up myself.