Can you bring her indoors to keep a close eye on her and keep her comfortable?
If you feel around her vent, does it feel like there's an egg stuck there? I haven't experienced hens being "egg bound" myself, but I've heard that you can use a warm
water soak and a lubricated finger to gently help the egg pass. Googling the phrase will yield more info/suggestions.
I did have one hen with similar symptoms, whom I brought inside to care for. She perked up for a couple of days, but then went downhill and was clearly dying. I put her out of her misery then opened her up, and found she had tumors all around her abdomen and internal organs. There would have been no saving her.