G’Day from down under
Luckynumberseven 
Welcome!
I see that you have been a member for a while but this is your first post; I am sorry that the circumstances behind it are not the best but I am also certain that your girl can make a full recovery.
So, it sounds like she has laid a soft shelled or shell-less egg. She most likely did this at bed time because that was when she was relaxed and that actually helps them to lay soft shells.
If you can imagine, their muscles are able to grip the harder shell and push the egg down the duct whereas a soft shell flexes when they grip and makes it harder for them to push it out. Once relaxing on the roost, it seems to move through the duct easier. I have a bantam Langshan who lays the occasional soft shell during her hard moult and always when on the roost after spending a while trying to push it out, straining etc.
Anyways, what you need to check for, is no residual soft shell protruding from the vent as this can cause issues but again, as in Dusty’s case, she may pass the remainder overnight while relaxed. Then, keep an eye out for any signs of an infection from any egg material remaining in the duct.
Does she have access to oyster shell or calcium?
You may find this article helpful:
https://www.backyardchickens.com/articles/soft-shells-and-other-egg-problems-causes-and-cures.65520/
Best wishes and please let us know how she goes?