OK, this is a longshot. But we had some wind yesterday and I found this on my deck. I'd never actually paid attention to these before.
These are the young pods that will eventually grow into the big cotton puffs that will make a huge mess over the deck and the yard and, for some, make breathing hard. I took this picture yesterday and today the pods had already started opening in the kitchen. (Those little balls are about the side of very big peas.) Why not just look through the tree and cut all these off before they ever open and spread their cotton?
So I went out today with the tree trimmer and I realize that I couldn't find them in the tree, and probably, if I could, they are so high up that I could never reach them. Cleaning them up after the fact is probably easier. But if anyone has a trained monkey, it could work.
BTW, one of my posts that still gets lots of hits is on uses cottonwood cotton.