I wouldn't try to feel and get the egg out, especially if she's pooping.She is asleep now. I cant tell on the cameras but I see something white under her, not sure what it is. She is fine with the soaking, but what if I cant get the egg out..? I have had a hen pass to egg bound and lash before, so.
Give her the Calcium which will help with contractions so she can hopefully expel the egg or material.