This must be the kit with all the Rogers hardware that was on Ebay.
A beautiful set of drums, congratulations!
The snare is clearly a stripped shell as it has a white interior. The natural Camco finished drums in the Oaklawn and Chanute period all had clear interiors. They're 2 versions of COB Camco hoops. Both have the curved ears but only the earlier ones have the rolled over top edge. They're also taller and heavier. The ones you have are slightly lighter and have indeed a weld spot.
When trying to match the snare to the rest of the kit, be aware that, what Camco used in those days, is not a real stain. The areas where the finish is scratched off, are clearly lighter so the color never really penetrated into the wood grain. What they used is more like a colored varnish. It's fairly easy to remove it. I hope your snare is done the same way. Attached you can find some pictures of a Camco Chanute kit that I restored. I used a walnut stain (1 coat) and 4 layers of polyurethane vanish. By using this method, the stain penetrates deep into the wood and won't come off. Achieving a perfect match will be difficult and what bart said: you would need to try out different swatches. Also be aware that once you start applying the top varnish coats, the appearance changes dramatically.