I can't see the red raw part you are describing. In my experience angry skin is most often parasite related.. and I would certainly do a check after dark using a flashlight since that's when things are easiest to see.
I have had hens get a crushed egg dried onto and hanging from their underside. They usually do best with a bit of a warm bath.
I might try another calcium source.. first easy one is slightly crushed egg shell.. size matters so not too small.. but all my birds mow down on egg shells much happier than OS. What is her regular feed including treats and supplements? How much of the PB are using to how much OS
Maybe a treat of tums or other rapid source calcium right before bed? This is usually used to help with muscle contractions if a hen is bound... but MAYBE it will help HER?? Slow source calcium is more key when a shell gland
is working properly.. So right now are we not sure if it's the shell gland or specifically diet related.. if shell are hard when extra effort is made, I would presume behaviorally diet related.. according to the description SO far.
Please understand I am just brainstorming ideas and not actually making suggestions other than use YOUR best judgement.. to me a soft or broken egg inside her could be life or death. With her getting on in age You have to decide if excess calcium administered is causing more harm than good with regard to potential kidney side effects, etc..
I have heard about liquid calcium.. *maybe* using that over her feed or on a treat.. some zoos sprinkle calcium dust on their crickets/meal worms before offering to the animal.
Can we see a lovely full body shot of that 6 year old gal?