My wife recently moved into a nursing home, straight from a care facility where she'd been for several weeks being assessed. So the clothes I had originally sent her in with for 2 weeks respite care went with her. They had marked her items with a sharpie pen and I had provided an inventory.
Her new nursing home are providing all toiletries, bedding etc and do the laundry. There is a lady in the home with the same first and last name, though her surname is spelt different. So the staff have added (space on the garment label permitting) the room number.
In the 4 weeks she has been there, I have noticed the occasional instances where she is wearing something that is not hers. As the home caters only for advanced stage dementia clients, who are not mobile, it is not a case of people wandering into rooms and picking up garments that are not theirs. I guess, therefore, that items sometimes get returned from the laundry incorrectly, so if I find anything in her wardrobe that is not hers, I give it to the staff and keep an eye out to check that any "missing" items eventually turn up.
I have just ordered some clip-in labels (with her name and room number) to put on everything and on any winter clothes I take in for her. I am fairly laid back about vagaries of the laundry process as it must be a bit of a headache for them and I am just glad that I don't have to do it myself.