Well, a membrane hanging out like that is a soft shelled egg that has broken.I did. I didn’t see much regarding soft shelled eggs. I used the last of my TUMS earlier, hoping o pick up some calcium citrate tonight.
I would try getting some more Calcium, if you get it tonight, I would go ahead and give her 1 tablet.
I would be hesitant to give her a soaking if she's lethargic, but she may benefit from having a heating pad to get on, but place her where she had enough room to move if she gets too warm.
Is she pooping at all? If she is that's good.