Fair enough, it’s not a super well known TL.This is correct. Cincinnati is the actual city, and Hamilton, F.D. is the territory it is located in.
I am afraid I have never heard of Washington Burn's. The actual inspiration for moving the capital of the United States came from an idea floated in 1814/1815 to relocate the seat of government to Cincinnati. I shall go into detail about the timeline of the United States' Seat of Government. There is no reason, for example, for the capital to have been located along the Potomac River in the first place in this timeline.
I’ll look forward to that post, whenever it comes it’ll be worth it when it does, everything in this and the older version certainly has been!