My guess is that the stove was used as a wood stove and the ash just piled up and melted everything. You probably need a grate assembly, firepot, chute and support brackets. The finial is also missing and although not essential, if you are going to spend the time and the money on a restore you need that too. Even a pro stove shop needs good masters and that is why you will read here of lots of people having their stove at the shop for years (for ever? - and yes that includes William) waiting for parts. Unusual stoves can be a bitch. The lesson here is that is why I search for stoves that are complete and usable as I do not have the time, skills or the inclination to do all this exotic stuff.
The first thing is, is it worth restoring at all? Once the body is apart we can see if the overfiring has warped the main panels. I am not expert but this is one of the worst overfirings I have ever seen. The last time I let a stove part out of my sight I never saw it again and now I have a useless lump of iron sitting in the corner but as a community member I am prepared to pitch in here as I may be the only game in town. I have drunk at this well many times so I am prepared to give back but it is all going to be on your dime. I suppose it would not be so bad to get a spare set for myself as it seems that these stoves are hard to find.
The way to do it is get copies made and store the master away and use the copies only. So three copies of everything should be made, a spare set for me, and two sets for you. You keep one as a master and use the other. There must be a secret ingredient in coal dust, where can you find a group of people who come together like this? I'm even doubting my sanity as I really don't have the time for this.
So accept the stove in not going to be providing heat any time soon. Is anybody willing to give a budget here? You have my photos of the essential parts, call Wisconsin and get an approximate quote. Sorry that things are tougher than you expected but you are prepared to get your hands dirty and that moved me to help. No coal burner left behind is our motto. I have been screwed twice recently so I hope this karma c rap is right.