I did log out of Facebook. I am still getting the notifications.
The bloatware point was just that it's yet another problem with Android phones. In fact, I'd say this phone has been a non-stop pain in my **** since the day I turned it on (see below for abbreviated list of issues).
So.... I logged out of Facebook on my phone. I force-quit Chrome. I continue to get Facebook notifications. WHY?????? And - why in god's name wouldn't your programmers make notifications an "opt-in" issue rather than just assuming we want to have our phones bonging at us every two minutes... while not being able to turn the damn thing off? OH I WANT TO THROW THIS PHONE IN THE TOILET AND NEVER, EVER WILL I GET ANOTHER ANDROID! NEVER!!!!!!
If anyone is reading this and is thinking about an Android phone.... don't. Don't even think about it. You should see all the extra apps they install and which require perpetual updates, all the extraneous notifications that won't turn off, all the intrusionware, all the tracking, OMG. I keep mine turned off more than I have it turned on. When it's on, it's constantly trying to make connections and backups. The battery runs down in a couple of hours. Don't bother.