I made a scheme. Obviously it is not to scale. I think I put the colors in the correct order (the order in which they appear in the reflection, not the order in which they appear in the rainbow) (I have a probability of almost 50% of picking the correct order :)) In the photo you can see the primary and secondary rainbow, but in the diagram I drew shows only the primary one. (When I made the drawing I noticed that there has to be another upward reflection that should illuminate the clouds, I suppose that the effect in the clouds is very dim and it can’t be seen.)
In the kitchen we have a wooden ornament with a rainbow (it was for hanging things, but the hanger broke). It was left by the previous owner of the apartment and is stuck very strongly to the wall so we keep it there. Is there any relationship?
PS: If you like rainbows, check out this article about a triple rainbow near Seattle.