I looked on Bonnie Hunter's site this morning, but no more information about 'Roll roll, cotton boll.' I suppose it's not Friday yet in Quiltville. So, I checked my emails, and found that there was a lovely one from Cheri, reminding me of the red squares - which I had completely forgotten. And then 'ping' there it was - the solution to how those blooming parallelograms would fit in!
Am I nearly there now?! At least I'm heartened that my brain has a few grey cells left to take me into the new year! See you there!