Only some of them do:
Latin-America
Puerto Rico is considered part of Latin America because it is a Spanish speaking country. Latin America are the countries whose language are from the Romance languages, Latin, Italian, French, and Spanish are all considered Romance languages.
Because "almost all" countries from Mexico to Patagonia (in Argentina) speak a Latin language (the Latin languages are: Spanish, Portuguese, French, Italian and Romanian). There are small countries in Latin America that do not speak a Latin language like the French Guiana and Guyana. Of course in the Caribbean a whole bunch of countries do not speak a Latin Language, but they are not included as "Latin America".
Cordoba is Argentinas second largest city after its capital Buenos Aires. The country with the currency of the same name is Nicaragua in central america.
Mount Vernon is the county seat for Posey County, Indiana.
Montevideo is the name of both a town in Minnesota and the capital city of Uruguay.
A county does not need a capital letter. A county needs funds and laws and staff to run it.The word county by itself does not require capitalization. The name of a county is a proper noun and spelling the name of a county should begin with a capital letter. When the word county is part of the name of a county, it should also be capitalized as in Kings County.
Latin America is a continent so you need to name a specific country.
Yes Dublin is a county in Ireland. It is also the name of a city, which is in the county and is the capital of Ireland.
Latin America.
The US Capital is in Washington, DC.
Latin-America
Latin America is called Latin because the languages most often spoken there, Spanish and Portuguese, are Romance languages derived from Latin.
Latin America.
Latin America
Washington DC
Latin America is made of many countries so to answer your question we need to have a name of a country.