Unfortunately, the Bullet side of this forum is almost non-existent. Therefore, I'll jump in.
Glad to know Terry's collection is in good hands. I used to live near him in Louisiana and was quite impressed with his collection.
In my opinion, the three bullets on the left are M&M 337/339 that were cut with a lathe to make the rings. These are of definite Yankee origins. There are also .54 and .58 caliber patterns.
The one on the far right appears to be M&M 336, known as a 4-ring Prussian (although the fourth ring in not always present, as with this one). Note that the mold seams go through the grooves, indicating they were cast rather than lathe-cut.
To the best of my knowledge, the jury is still out on which side manufactured these.
Wes