[DS and SG] Regiments of the Crown

Here is a question, how is the Army of the Confederation organized? Does
it
use a version of the British Regimental system?? How do American and
Canadian units fall into this. The U.S. does use a Regimental system of
its
own, but our regiments are numbered (with nicknames). I wonder how this
would work...

Typical U.S. Regiments:
16th Infantry (dates back to the Civil War) Regular
34th Armor (WWII) Regular
7th Cavalry (At least Civil War) Regular

Would Infantry Regiments be assigned a region and given a 'local' name:

16th Infantry- say in North Alabama and Tennessee- The Nashville and
Knoxville Rifles??
34th Armor: 34th Royal Tank Regiment??
7th Cavalry: Her Majesty's American Cavalry Regiment? Or... The Garry
Owen
Dragoons!

What do ya'll think??