Chester A. Arthur was also inaugurated in New York after James Garfield was assassinated. Also I believe Brooklyn was the third most populated city in the U.S. at the time of the consolidation (I was a tour guide in NYC for fourteen years).
I'm not sure about the Brooklyn ranking, but the Chester Arthur issue is entirely correct. He was sworn in at his home by a justice of the New York supreme court and repeated the oath when he returned to Washington, but for all intents and purposed the most important ceremony happened in New York.
I got a lot that I typed as a joke, such as Great Depression, McKinley, Washington, and Brooklyn. I'm pretty sure that the White House wasn't yet built when Washington became president, so that would make sense.
Though the White House usually has nothing to do with inaugurations, which are done at the Capitol (which also did not exist at the time of Washington's inauguration).
I don't understand why Haudenosaunee isn't an acceptable answer. Elsewhere on the site, I can type Eswatini or Swaziland, Cote D'Ivoire or Ivory Coast, Czechia or Czech Republic, Burma or Myanmar. Clearly, JetPunk widely supports self-determination in the names of nations. Yet here I have to type Iroquois, and the actual name of the confederacy isn't accepted.