I, by no means, am an animal behaviorist But have work some with rescue
Pyrs. And like to talk things out.
I would start training her to go to her own bed. Do you have her back
with you or is she with her adopters? Does she potty on their bed when
they are gone? The other dog my be making her feel intimidated, and she
maybe marking the bed as a statement of …these are my people too. In your
home you may not have had these problems because of the large amount of
Pyrs that are about, and respect you as alpha of the pack. They all now
who is the boss and that you are alpha. Who is alpha should have been
established right from the beginning their adopting her.
Has for the escaping I have little to no advise. There are many pyrs
out there that have constantly tried to escape, and have never been able
to be curbed from escaping. Does she escape when they are home, or when
they are away? Or both? Before they start reinforcing that the world out
there is a really great place and she really wants to see it more than she
even though…there maybe other things to consider. Sometimes the fun in
escaping is seeing if you can brake the barriers your people have put in
front of you this time.
Is someone teasing her on the other side of the fence? Does she have
separation anxiety? Has she done this while in others care?
Hope it all works out. She sounds like a very strong willed
Pyr.