Ah, this one gave me a headache a long time ago. Unbelievably, the city’s official name is actually “The City of The Village of Indian Hill”. I think official_name would be the most appropriate key to put that in. If we make “Indian Hill” the primary name, then “The Village of Indian Hill” should be in alt_name, since it’s also pretty common in formal contexts.

Should we also change https://www.openstreetmap.org/node/153998156? If anything, the node representing the populated place should conform to the common name even more than the administrative boundary.