Guys thanks all for the comments here. I'm new to firearms in general and learning so this is all good info. I'll try and respond to some comments here.
I was told it was a 7mm pin fire. Haven't' measure the diameter of the cylinder yet.
I was also told it was a Webley, but apparently it's not. What do you think it might me Dolomite?
I have not cleaned it at all, and understand it's bet not to do too much rubbing on the antique. I would like to either get it in display condition, or move it along to someone that want it as a project. I just don't like it sitting here in the current state. Just that way about things. I either want them looking proper, or not to look at them. The front site was already out. I'm not sure how it fits in there because it's not dove-tailed. Solder I guess like you said Dolomite? I'd definitely want to get some help putting that back in I think. Unless it's just that simple. I have solder.
TankerHC, I don't know who did the engraving, but I'm guessing by everyone's comments here that this was not factory. It does look like good work to me. The symmetry kept on both sides is art for sure.
I am going to chat with the Dixie Gun works guys and see what they have to say about it. I'll keep you guys up to date. Trying to take Caster's advice here and get the thing "rebuilt" if it doesn't look like it will turn into an expensive project.