Paper training began when I used to place a training pad inside the cage for him to do his business on (quick and easy cage cleanup). Well, I would let him wander outside for exercise and time with me. I always placed a training pad on the stone tile floor for him to lay on. And, if there was an accident here or there, I would pick him up and put him back on the pad. One day, he began to wander, came back to the pad and did his business. I gave him his favorite treats. It took some more accidents before he did it on a fairly consistent basis, but it actually worked. During that time, I’d place him on the pad a lot trying to avoid any accidents if possible (you know they poo often). He finally began to associate going back to the pad, doing his business, then receiving the treat reward.
It sounds like your little girl does everything on her terms only, and it’s really incredible that she feels the need to be with you even though she’s not comfortable with being held. To her…. you are accepted, so important and regarded as one of her own. They are very social and do bond deeply with their humans…. especially if you’ve raised them from chicks in very small groups of them or just one alone.… close to you every day. Of course, I can speak only from my years of personal experience with raising my own from hatch to adulthood. Sometimes, we come across a few very different little birds that don’t behave in their natural ways.