Thanks for the advice. 

This gun was sold at Rock Island Auction on 6/23/23, lot # 1209.

I fail to see a chamber cast. I have a 30 Schwartz, they shoot quite well, and easy to form brass, both chambered with Wayne's kindly borrowed reamer. This close to thirty years ago. An added benefit is a large number of 30 caliber moulds available at reasonable prices. Mine are the version based on the 30-30 parent. A favorite bullet is the old Pope 308403.

My Hoch has only been a 30 caliber rifle. 

First in 32/35 Stevens/Maynard,with a Douglas barrel. Then re-barreled to a RKS in 30/30 Wesson (big forearm).

The butt stock shape is kinda curious to me. I designed my stock to have all the drop I could get. My draw bolt is just under the top of the butt plate but, it looks like on the OP's stock it has more drop than mine. I don't know how it could, w/o changing the angle of the draw bolt. Maybe it's just the different angle of the butt plate.

The chamber cast is the silver colored cast to the right side of the 30 Herrett round, unless I am confused as to what a chamber cast consist of.

So if I understand the advice so far, can I get a 30-30 reloading die set. Use 30-30 brass, cut off 1/2  inch more or less, then work the brass down to where I have a 1/2 inch neck. Then if the brass is a relatively close fit, I can then fire from the brass by using a wad to keep the powder in the case.

You actually have to go by the chamber dimensions.

By SAAMI specs, the neck is .505 long rounded

The length of the shoulder is .124 rounded

The shoulder starts 1.455 from the back side of the rim and that diameter is .403

Or .629, from the front of the neck to the start of the .403 shoulder 

The tapper per inch of the body is .0146

If your total case length is 1.500, you subtract .629 form 1.500 = .871 from shoulder to the back side of the rim, of that, you can subtract ~.066, for the rim, itself, leaving .805 of body tapper

.805 x .0146 (body taper)= .012, rounded. Add that to the .403 shoulder and you need the case to be no larger than .415

The good news is that most 30/30 cases that I've measured, have a solid case head diameter of .416 so, you may only have to polish of 1 or 2 thousands to get the die to size w/o to much effort.

As I said, the chamber cast looks like the chamber may have been open a little for the final fit. 

By my calculations, you would need to take .584 off the std 30/30 die, to get where you need to be and then polish it .002 larger, for about .200, inside the die.

Or for that matter re-chamber to .30-30? No moss grows on a .30-30 for cast bullet shooting.

Consider the dimensions of the 7mm International Rimmed for forming the 30-30 to 7mm.
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Does anyone have the dimensions POPE used?

I went with Hornady over Lee...a little cheaper.Needed only the FL die and a seater for fixed if I want to. That was $200.00 there about.