[yorkietalkjilly]

For starters, you could buy a taller, more substantial trashcan with a secured top. Then also train her not to go around the trashcan. Watch her closely so you can catch her going to the trash can and when she begins to approach close to it or sniff at it, say "No!", clap your hands, lock eyes with her as she looks up at you and walk into her space until she surrenders your trashcan and its contents of lovely tissue to you, turns away and leaves the area. Then walk behind her until she's moved quite a way off from the trashcan and stand there staring at her for a bit, then walk back to your trashcan, claiming the area as yours with your no-nonsense stare/strong body language and preventing her return should she try, thus letting her know she hasn't permission to approach the area of your trashcan from now on.

Keep repeating this exercise until she's gotten the message that your trashcan is off limits to her. Most people will train this type of exercise for one - three days and give up and wonder why their dog can't learn what they try to teach it but it takes more like persistent training for two - four weeks to properly start to ingrain the message in the dog's brain that they don't have your permission to approach or touch your trashcan.

You can even move the trashcan to the middle of the den for easier access and to set her up for a training session. Once she's clever enough to pick up on the fact that she cannot now approach the trashcan and walks away quite quickly on her own, begin to walk past her, call her into the other room and give her a treat and praise. She'll begin to associate the fact that she's now actively avoiding the trashcan with getting a treat and it will reinforce her staying away from it while she's still in the training phase.

In the animal kingdom, pack leaders usually claim things or areas as their own by running other pack members away and use their body language and stony stare to send a strong message to the other pack members that they are now not to approach the thing/area. I'd just keep giving her the training sessions with the trashcan until she learns to stay away and you never find her trying to get into it anymore.