While celebrating July Fourth during the next few days, many Americans will call to mind patriotic songs like “America the Beautiful” and “The Star-Spangled Banner.” But Nat and Sonya Hancock have a different perspective on those tunes after seeing the locales that inspired their writing — and so much more. The Gainesville residents recently completed their quest to visit every U.S. state capital, a decadeslong mission that has spanned sea to shining sea and taken them from the northern tip of Maine to mile marker 1 in Key West, Fla.