Eccentric or Crazy?

In "A Rose for Emily", the weird girl we read about is crazy.  We refer to people that's not acting normal but holds high position or attain great wealth as eccentric out of respect. However, since Emily is no longer a aristocratic girl, she doesn't deserve that respect. Honestly, why would anyone sleep with a dead man...especially when he is poisoned by one himself/herself? The obsession with Homer simply show that she is crazy. As story progress ( in chronological way), town folks only take Emily as a crazier and crazier person as things are revealed. She refuse to acknowledge her father is dead. She ignore all laws (wonder why didn't she get sent to prison). And then she bought poison, adding to her eccentricity already known to others. Finally, after she die, the revelation of her murder of Homer makes she a crazy person. Yes, rich people deserve more respect. They are more educated, and they contribute more to the society, thus should be better respected than serfs that barely changes anything in the community. However,  when one loses that status, such privilege should no longer apply. They will not be worthy of be denoted with extra respect from local folks.