The only city that matches these descriptions is Hagåtña. It is one of Guam's capital cities. Guam is a tiny western Pacific island and a U.S. territory for more than a century now. "Haga” was the name of an eagle family often depicted with two heads. It was a rare kind of bird in the eagle family. Hagåtña is a seven-letter city name. The first 4 letters are shared with this ancient bird called "Haga." The 4th and 7th letters are the same, as you can see from the spelling of Hagåtña.
One way to show that a statement is not a good definition is to find a counterexample. A counterexample will show that there are more views on any subject.