Does she seem to regularly not feel well, then improve with Calcium?Great to know, thank you. But then what would I taper off to as good regular background amount. I think it's long been clear she just doesn't get enough calcium for whatever reason. How much would you give an older chicken for health-maintenance?
You can try a different type of Oyster Shell like Oyster Shell flakes to see if she will eat those better. They are more expensive and have to order them online (Amazon) or (?) but I've found my hens seem to gobble them up. I have a Sapphire Gem whose eggs are huge and her shells have always been slightly more fragile than other hens, they do hold up o.k., just break a little easier. And I notice as she's aging (She's 4), while the shells are still adequate, they are getting thinner. I've been giving Flakes for a while now and her shell quality has improved a little, I do know she's eating the flakes, I watch her. I can't say they are a cure, but for her it's helped.
For long term, I'm not sure how much calcium citrate to give in tablet form or if that's a viable option, generally the "extra" is given during a crisis like she just had. Let me see if @azygous has that information. It may be that you can give it once a week? But I can't find that.
Also, what do you feed?