I love to eat beef, I would like a new recipe to try out
Different countries and cuisines have different cuts and names for beef.
Yes that is so true, I would like to know the different cuts of beef.
For example, the cut that is described as "brisket" in the US is from a very different part than the British Brisket.
My spouse placed brisket on the grill, it is rather tasty.
Sounds yummy! Would that be US brisket or British brisket?
It is US brisket, It takes awhile to grill, seasoned to taste and have it with the family. 
The reason brisket has to cooked a certain way is to tenderize the large amount of connective tissue of a brisket.