I found my own answer, sort of, but now I have more questions than ever. I found there is a One Note Clipper extension to add to Chrome that allows me to take screen clippings from my Chrome browser. It appears to work just fine.
The new problem is, it does not add the new clipping to my notebook in One Note. It posted it to a different program called 'One Note Online.' I cannot find a way to sync these two programs. Or a way to send the clipping from one to the other.
Also, there is a supposedly free One Note 2016 that I downloaded from Microsoft, thinking that was the answer. Wrong! All that wanted to do was have me sign up for a free 'trial' of Office. And when I tried to do that, I kept getting an error on the link. So I deleted that version.

Does anyone out there know what is going on with One Note?