i would get her a cage it will be hers and only hers, and safe place also i would put in a old jumper with you and or wife's scent on it.
we have a boarder collie rescue she was pretty much like yours following me and vince everywhere this is what i did and now she's not bad,
we tell her to go to bed and she heads straight for her cage, she'll come and see where we are and then shoots back to her bed,
we also do lots of training with her take her mind off of things she likes to use her brain were going to take her to agility, we do flyball with her as well
but yes she screams as well if you go to get her collar so i think she was beaten as a pup as well,
we know she was on deaths door bleeding from every opening she had.
they fed her junk food
and she also doesnt like play fights if me and vince start to play hit each other she goes mad but over the months she's learning were playing.