Excellent history there Conder101. This is a very nice educational thread, so I'll add just a few things to what you state.
There were initially 12 Flying eagle/Indian cent patterns from 1858 that could be procured and were considered a 'set'. Originally, there were about 50 such sets, but when word got out, and requests increased, the number of sets was doubled to around 100. 'Popular patterns' like the 1858
Indian Head cent were struck in significantly higher numbers (I've heard up to 1,000). In addition, there were numerous patterns that were not considered part of the 'set-of-12' and were minted in significantly fewer numbers - anywhere from one example to around 20 or 30. Putting together an original set of 12 today can be a lifelong challenge and many can be purchased for 800 to 1,500 dollars.
In addition to the 1858 patterns, there were a few different patterns made in 1859, most differing in the reverse. One is the ornamental shield pictured in this thread, one is the reverse of the regular
Indian cents (which just started the next year), and then there is a reverse called the Oak Wreath, which is pretty cool (and the next one I want). Hopefully I can post pictures in a year or two when I've saved up enough to get it.