I agree it does sound like separation anxiety. You may want to leave her with a special treat, maybe something like a knong with PB in it. Also I would start training her to stay in the room while you are home. Start getting her to sit and stay, give treats, after that is mastered I would get her to sit and stay and leave the room, give treats. After that get her to sit and stay and leave the room and close the door.... you get where I'm going with this.
You need to teach her how to react.
Good luck and let us know how it goes
