Hi:
I posted here a few weeks ago with the same symptoms for my 10 mo. Brahma. Her abdomen was huge, veins stretched, and very taunt. She sat penquin like too and wasn't moving much. I live in Oregon and it's been wet and she was just laying in a corner on the ground. I removed her from the flock, kept her in our shop in a dog crate and a dog playpen with a 100 watt bulb for her. I tried multiple baths, mineral oil in vent, blow drying her abdomen and vent along with massage, vitamins, yogurt, oatmeal, terramycin, etc, felt for eggs, never felt one, nor did she ever lay one while in the shop. Well after about 5 days, still no change, still very swollen, not eating as well, poops were getting less, and she just stayed in the crate most of the time.
So, I got desparate thinking I was going to have to cull her, so I gave her mineral oil, about 3 ml. orally with a syringe tip, slowly and made sure she got it down right. She then started pooping like crazy, actually a little runny but still a good color. I then wormed her with Piperzine as well as the rest of the flock. I never saw worms, poop looked normal before I did all of this but I was at my wits end. After the mineral oil and worming, and two days of oatmeal and yogurt along with her Purina Layena, she got firmer poops and her abdomen went down and actually was "flacid". She was now moving around more, tail up and looking much better. I kept her in our shop by herself, till I found her on top of the cage about 8 days from the first time finding her to trying to fly~ girl was ready to go back to her flock!.
So if your hen isn't getting any better, you might want to try some mineral oil and/or worming. Hope she gets better soon.
Skye Bleu
Western Oregon