In the nursing home. You will be looking for Mrs. Goodwin. You will end up in a random old ladies room, pretending to be Room Service. Make sure to interact with her Wardrobe. You will get a Hanger. Ask her if you can keep it. She will say yes.
Exit to the Lobby and try to give it to the nurse that is Vacuuming. After the Dialogue, you will get this Achievement
Here is a Video Guide: