<waving hand erratically> Ooh! Ooh! I’m a catalog librarian at a university library, pick me! 
Dewey works great for small collections. Call numbers are assigned based on subject, but often there are multiple items dealing with a single subject. So in a small public library, many books in a single area can have the exact same classification number. In this case, items are further organized alpahabetically by the author’s last name. This is why I absolutely detested my shelving days as a page at the local public library - an entire range of books all beginning with the call # 369.1. groan (And yes, as was pointed out earlier, you can in theory make a Dewey number that goes on and on for nine decimal places - but this isn’t pragmatic, nor does it fit on the tiny label that we put on all the books. :D)
So say you oversee an engineering library operating on the Dewey system, and you have approximately 2,500 volumes that deal with the exact same topic - metal alloys, perhaps - so these volumes all have the same classification number. Obviously, organizing these items by author’s last name isn’t going to cut it if you are going to conduct serious, timely research. It would take forever to pull that one published by Williams in 1975, and you couldn’t find the one item that dealt with copper alloys more so than the other volumes. You’d need a way to more minutely classify the item, and distinguish it from other like items.
In comes Library of Congress classification. It’s a system that assigns a classification that is 99% unique to that item (don’t cite me on that, but there are rarely exact duplicate call numbers in LC). It begins much like Dewey, assigning a broad topic area by letter(s). It then further subdivides the topic with numbers, and possibly more letter/number combos called cutters. The last cutter (letter/number combo) decribes the author’s last name, so it’s built right into the classification for the item. The whole thing is finished off by the publication year, making it very easy to distinguish between different editions of the same work by a single author. Cool, huh? Dups under this system potentially happen when there’s two authors with the same first three letters in their last names writing about the same topic. Libraries often tweak these classifications to fit their local instances and to make everything hunky-dory in their own catalogs.
This systems is way handy and efficient, considering LC receives thousands and thousands of items to be cataloged every year. For more on LC classes themselves, check out this site.
SmackFu, the broad topic of literature is frequently broken down by period. There were no American authors in the 1500’s, and academic libraries often don’t carry a lot of popular modern fiction. That’s probably why you see a “separation” between American and British authors. I’d suggest you check this page out to compare call #'s and determine exactly why you see a difference between the way two particular works are classified. Other than that, you got me! ::shrug::