Freeing Space in iOS
For anyone else in this situation, I'm posting my experience.  I did install iTunes and do a backup/restore, but that didn't fix it.  It did help me see that, in fact, there was a huge chuck of data marked as "other" - this is what most forum posts describe.  I began deleting apps to see if I could figure out which was responsible, but nothing reduced that wasted space.  Finally, I was forced to accept the unpleasant reality.  Yes, you have to wipe your phone. Since I had a backup, I went to Settings -> General -> Reset (at the bottom) -> Erase All Content and Settings.  After, I used iTunes to do a restore. This brought back pretty much everything the way I had it.  However, apps that I deleted I had to search and reinstall from the AppStore.  (Why don't they have a "my apps" list like Amazon does?)