Is she in the wrong for giving improper notice?
Would you quit a job without giving your two weeks’ notice? A lot of employees don’t feel the need to give notice, because if their job was going to fire them, they sure as heck wouldn’t get a notice two weeks in advance. Other employees go overboard with a notice, giving their company four or six weeks’ notice before they leave for another company. Depending on how essential you are to the company’s operations, giving that much notice might be necessary to ensure the company you’re leaving doesn’t fall apart without you.
If you don’t care about preserving relationships in your old workplace, you can just leave. You can just stop showing up if that’s what you really want to do. Your boss isn’t going to drive to your house, get you out of bed, and force you to go to work. There is no world where your boss should demand you stay at work past your two-week notice, or interpret your unexplained absence as anything but an admission that you no longer wish to work this job.
The employee in this online story made herself far too available to her former employer, and now she doesn’t know what to do.