How can we get her to stop thinking it is hers, we just got new kitchen cabinets and she has toothed them to get into the garbage. I have always said, I my dog bites someone they are gone, well I hate to see her to go someone who doesnt like her like we do, she is a good dog otherwise
I'd also work on your husband and children being dominant with the dog in other situations so she doesn't start trying to be like this about anything else.
So maybe she learned to be aggressive/possessive about garbage fighting for survival on the street? Not a solution, but maybe a reason. Sorry.
The other element of her behavior is the possessiveness. Your dog isn't "pissed" she is "owning" the garbage and challenging others. Does she also have food aggression? Will she do this if you try to take her food or get near it when she is eating? The way to address that is with training where you reaffirm her position as subservient to the rest of the pack. Sometimes basic obedience will train this right out of a dog, sometimes you have to get a more serious trainer involved.
"In life, unlike chess, the game continues after checkmate." - Asimov
"Be patient and tough; someday this pain will be useful to you." - Ovid
I would still strongly urge obedience training for the dog. This reaffirms its position in the family. Any time a dog shows aggression towards a human it should be addressed immediately and seriously. If you address it early, then you can prevent a very serious problem from developing.
I have seen dogs have aggressive tendencies. Even my border collie mix I rescued as a very young pup, who is almost never aggressive, is aggressive over her chewies. It seems very out of character but it is her one trigger, though it's only toward other dogs, never people.
Status: D 2011
Above all, be the heroine, not the victim. - Nora Ephron
It is our choices...that show what we truly are, far more than our abilities.
- J. K. Rowling
Establishing dominance can be quite a process and it requires consistency. Don't ever hit or smack the dog as it will make the problem worse.