Sickly hen

Hi All,

We have a 3 year old hen who has abdominal swelling. She was waddling the other day and wouldn't go up to roost at night, only slept on floor of coop.
so we separated her, put her in a dark, warm pet carrier and gave her tums and food and olive oil in bread thinking it was egg binding. Today she isnt any better and I gave her a warm soak and lubed her up and checked inside the vent and do not feel an egg. After checking the vent, yellow poo with some things that looked like capers in it came out. I now refreshed her water and used some calcium and acv in it and she is drinking ok. She is eating ok too, but now she just stands, will not sit. We have 10 hens and someone has been laying some HUGE eggs. I am wondering now if it is her. Maybe an egg broke inside? She is really swollen in the belly. She also has developed a black dot on her comb and it is very droopy. This afternoon I noticed her comb is now grayish a little in one spot. I don;t know what else to do. No vets in the area cater to chickens. My cousin is a vet tech in NC and the vet she works for said there may not be much else I can do. I just want to make sure I exhaust every option before letting nature take its course. This will be the first hen we have ever lost. She has always been the "oddball" and has a crooked tail and has been a little wonky since we got her. My son named her Sketch, because she's a tad bit Sketchy. This is one of the reasons we love her so.

Any advice would be appreciated.
Thanks in advance.