It's equipment, so I figured the person in charge of equipment is ultimately responsible, regardless of whether he personally stitched the names on there. If it's from another department, it's from another department; I linked an org chart.
We have a funny story in my family. My last name is spelled entirely with letters that look the same upside down as they do right side up, if capital letters are used. So when my father entered the National Guard, of course they stitched the name plate on upside down. His drill sergeant was not amused when no one was responding when his "name" was called.