alt Hacker NewsYou're right, but typically, when two towns in a state share a name, only one is an incorporated city at most. The other, or both, are usually unincorporated communities. Normally, unincorporated communities do not receive a city.state.us locality domain.
For city.state.us, I'm pretty sure first to file (while filing was available) wins...
Ohio doesn't (or at least historically didn't) have a highlander restriction for incorporated cities.
Oakwood, Cuyahoga County was incorporated in 1951 although Oakwood, Montgomery County was incorporated in 1908. There's also an Oakwood in Paulding County, but its wikipedia page doesn't have an incorporation date or explicitly declare it incorporated or not. I thought there was a famous Ohio city with a same named city elsewhere, but I must have been thinking of somewhere else. I will note that Pennsylvania has an awful lot of same named Townships.
City name in the US ends up being a pretty wild concept when you dig into the details. Often what people are using as a 'city name' is really the name of their post office which statistically has a high correlation with the city they live in. But of course, lots of people live outside incorporated cities, and postal boundaries are independent of political boundaries.