Coming from a commercial demolition guy …. good luck! If it were me demoing that house, I would cherry pick all the sheathing from the exterior and call in the big guns to finish it off. Busting up all that plaster and hauling it out is going to be a lotta work. If you can work the structure from the outside peeling away the siding you should find a lot more of that nice wide board lumber.House Demolition by Hand
My wife and I bought the neighboring house. It was built in 1875, and had been abandoned for a year and a half. We wanted to expand our yard and use the building timbers to make other things with - new garage, lumber storage racks, bench swing, etc. It is quite an undertaking, and I am shooting videos of the process. Come have a tour of the place while it still stands!
Fwiw - those boards will exhibit a lot of staining from the lath. It must be a different species thing that causes the staining.
Ill be following and rooting you on Pete.
Say it with me …. "NOW THATS HOW YA DEMO!"