Answer:
The answer is Hagåtña.
Explanation:
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.