What's the order you are looking for? I pretty much loaded them up in reverse order as to how I saved them.
Most of the names came from Dvergatal or "Catalogue of the Dwarves" from the Poetic Edda, and when they are introduced to Bilbo in the book, the order in which they are said has a certain poetic cadence of its own. I think
it was Thorin who introduced them:
Dwalin, Balin, Kili, Fili, Dori, Nori, Ori, Oin, Gloin, Bifur, Bofur, Bombur...or was it Dori, Nori, Ori, Oin, Gloin, Fili, Kili, Dwalin, Balin, Bifur, Bofur, and Bombur.
(I can't remember the exact order, it was something like that.)