I would make a binding (or purchase) to attach to what little hem you have, like a washable satin or polished cotton. You could look at some of your own pillowcases and see how to attach and finish. Since she's in the nursing home maybe attach a small label on the back to show who the rightful owner is. Pretty things have a tendency to come up missing almost immediately in nursing homes. Take photos of everything you take and what is in her room. Ask me how I know. Friend of mine took photos like these. When anything came up missing she posted them on Facebook. Her one nurse was terminated. The weirdest photo and how she got caught was the one of her mother's purse. It was old and cute and just a little different. Someone saw it and was appalled and turned it in.