I do my grocery shopping on Sunday morning. I took the case and asked 8 women what they would use to clean it. Four said Oxiclean and a soft brush. Two said to be sure and rinse the cover. I got a bottle of Oxiclean spray, sprayed the cover, let it set a few minutes, scrubbed with a soft brush, rinsed, and brushed again. I wouldn't say it looks like new but I'm not ashamed to read with it in a restaurant while I eat lunch.
Here's what I found on the internet.
"One of the active ingredients in OxiClean is sodium percarbonate (Na2CO3•H2O2), an adduct of sodium carbonate (Na2CO3) and hydrogen peroxide (H2O2).[3] This breaks down into hydrogen peroxide when dissolved in water. TAED is often used as activator. These ingredients break down safely in the environment and leave no toxic by products.[4]"
https://en.wikipedia.org/wiki/OxiClean
Thanks to all who helped point me in the right direction.