It's entirely possible the Code was incorrectly applied in this instance. Also potentially possible that the way she was using her "own Facebook page" brought it within scope (ie, that a "reasonable" person viewing her Facebook might interpret it as being made in her capacity as a Cllr).
This...
If you can't be bothered taking a minute reading what was a pretty short post for a forum, then I'd suggest you're in the wrong place. You might find "X" (formerly known as Twitter) more to your liking. But watch out for the blue ticks - they can post long stuff too :p.