Perhaps she is attention seeking

if she is with you most of the time she may not like it when your attention is focused on anyone/thing but her.
With her being a rescue it is difficult to know what happened in her previous *life* which may explain this behaviour.
Perhaps you could try excluding her from the room if her behaviour is unacceptable, give her time to calm down and allow her in again, could be a long job.
Have you tried going to a local dog training club? The trainers at these clubs are usually v.experienced and they will probably be able to help.
Good Luck. :D
Nicky