Field and stream birds is a general term that describes types of birds that are usually found and associated with this type of environment, although this may not always be the case.
All the different types of birds in North America and elsewhere, adapt to certain kinds of habitat that best suit their behaviour for finding food and protection.
There are many species of birds that live along the edge of fields and forests. These birds may seek their food in the fields and nest in the forests or vice versa. It is not always easy to separate one from the other. As an example, there are woodpeckers, who could be found pecking to their hearts delight in one lonely tree in the middle of an open field or following a few sparse trees along a stream. These same species of birds can also be found deep in the forests. It all comes down to where they can best find their food.
With so many types of warblers, these birds may be found in many different habitats.
Avibase - the world bird database This site provides the user with a complete list of bird species, broken down per country, or in the example of the US or Canada, per state and province. Here, bird species names are available in other languages, a great asset to be used as a translation of foreign bird names.
ABA - American Birding Association This site represents an organization that maintains official records of all birds species that have been proven to have been seen inside the perimeters of the North American Continent and the surrounding bodies of water. Regular revised versions are posted to keep the bird list current at all times. This is the list used by all serious birders over their lifetime. You may be aware of the movie called the "Big Year". It was with this list that all the competing birders used in an attempt to set a new record as to how many bird species that could be seen by an individual birder in one calendar year.
I hope you will take advantage of these suggested websites. I have used each of them, in one way or another, throughout the years in my quest to better identify and understand our fine feathered friends.