First of all, thank you for being an angel and rescuing her, that was a great deed.
Yes, she's experiencing separation anxiety and from what your story is, this is completely natural and rather expected....albeit a bother for family members who have listen to her....she's absolutely bonded to you and yes, you are her human "mama" and that's just the way it is. It's a beautiful thing, however, it needs to get under control.
There is an abundance of material on animal (dog/cat) Separation Anxiety on the internet, you can Google it as Cat Separation Anxiety and a lot will come up. TCS members here no doubt will give you great advice.
It's a slow process to train her to know that she is not being abandoned again, that's what is going on in her little head..... so when you leave, if there's a way you can leave an unwashed sweater or t-shirt for her with your scent on it, that would be great. If possible, play soft music or something nice for her, so she knows it's your "going away music but you come back" and she will understand over time what the music means. Does anybody play or hug and pet her when you are gone? That will help her acclimate to others, not just you, although you always will be "her person".
I'm sure you will get responses here, and welcome to wonderful TCS!!!