That's very frightening when they actually get INside. I did suspect a prolapse as that's pretty common.
Now you just wait for any more hatchlings. You definitelyl could hedge your bets on this one and give penicillin injections if you feel up to it. I would either give injections, or forgo antibiotics all together. Not all antibiotics are correct for this, so you want to use the right type - the 'cillins. Baytril if her life were at risk.
Definitely try to get her to eat, keep her up. Dampening the mash with water, adding some egg, some yogurt (for calcium, vitamin D, good bacteria) are ways to tempt her while giving her beneficial nutrients for healing.
I'd also like to see the issue that caused the initial prolapse fixed so you never have to deal with this again, as I'm sure you don't want to either.
I don't know what your diet for her is, but often hens will prolapse if they have a leathery, soft shelled, or shell-less egg that they're trying to pass. These don't pass as easily as a hard-shelled egg so they push, and when they push they literally push their cloaca out.
Using preparation H on the cloaca can help to get it to stay back in as the active ingredient in PreparationH is a vasoconstrictor which shrinks the tissues. It doesn't seem that's the current problem, correct? She went back in?
Oh her diet, make sure that she's getting 90-95% or more of her diet from completely vitamin fortified laying pellets or crumbles. 20% is the better choice. but 16% will certainly be fine. Not a lot of the diet should be grains as grains are high in phosphorus which will disable calcium from going to egg shells (and eventually make the bird steal the calcium from her bones to make up for too much phos). 5-10% of a normal bird's diet can be treats, healthful and nutritious feed grains. Scratch doesn't fall into the latter category but more into the treat category as it's of cheap grains, designed to get birds to 'scratch' around in their bedding and yard to aerate the bedding and keep interested and moving.
The other two nutrients of interest in calcium absorbtion are of course the phosphorus, but you're more likely to have an overage (too much grains) than a deficiency as birds are mostly cereal eating creatures. Vitamin D can sometimes be deficient. For this reason, and for its beneficial living bacteria (which are the same as those already living inside the hen doing good) I'd give a tablespoon of yogurt daily.
Also all laying hens should be provided free choice oyster shell. I get the ground oyster shell, not pelleted, as it has some 'flour' from the powdered shells in it. If I get a hen who doesn't supplement herself with oyster shell, all other nutrients being good, you can use some of that flour in their grain to get them to take in more calcium.
The average hen needs about 6 parts calcium to 1 part phosphorus. that's called a 6:1 cal/phos ratio. But some hens need as much as 15:1. It would be harmful to the average hen to put that much calcium in a laying pellet formulation, so that's why we give oyster shell (not egg shells). The hens have an instinct for supplementing themselves with it, and oyster shell is already very bioavailable in the form we give.
So I'd watch her. If she at all looks anything other than spunky, I'd give penicillin shots IM for at least five days for possible internal infection. I'd give her yogurt every day, adjust her diet if that was off, and try to get her to eat by using the foodstuff suggested above (particularly damp at least once a day as they love that). Then I'd watch her for four days and see if by then she could be safely returned to the flock. Reevaluate her then and give us a buzz back here on the board if we don't hear from you sooner. I hope we DO hear from you sooner with good updates.
That would be good news.
By the way, all of your other laying hens could benefit from the same things I've described above - minus the penicillin of course.
Good luck, and hope to hear from you soon (with good news).