Citizens of the United States of America often refer to their country as “America,” which we all know is technically incorrect, as the region made up of North America and South America is technically “America.” We also often refer to our country as “The United States,” leaving off the “of America.” What I’m wondering is, are there other countries whose official name starts with or contains “The United States?” Many other countries have subdivisions within them called “states” (like the USA). So do any of these countries call themselves, officially, “The United States of something?” Like The United States of Russia, or the United States of Brazil?
The United States of Mexico, but everyone just calls it Mexico.
I just looked it up and it seems the proper English translation is actually “United Mexican States.”
Close enough, though. 
Brazil, too, is “The United States of.” That is, if my long-ago high school teachers are to be believed. It is rarely called anything but Brazil, though.
Yep, it’s Estados Unidos Mexicanos, not Estados Unidos de Mexico.
I don’t know how to put an accent on the “e”, for all those nit-pickers out there! 
I’m fairly sure that there has been a United States of Central America in the 19th century.
here it is from wikipedia:
The United States of Central America
In 1823 the nation of Central America was formed. It was known alternately as “The United States of Central America” or “The United Provinces of Central America”, but most commonly simply as “Central America” (“Centroamerica”). The Central American nation consisted of the states of Guatemala, El Salvador, Honduras, Nicaragua, and Costa Rica. In the 1830s an additional state was added, Los Altos, with its capital in Quetzaltenango, occupying parts of what is now the western highlands of Guatemala and Chiapas, Mexico.
You can copy and paste this one, John: é
Or, use alt+0233 if you’re using a Windows machine.