Throw in that "double butted" just means that where the tensions are highest, the steel is doubled, like the spokes that are thin in the middle and thick on the ends. It doesn't refer to the material composition at all.
Steel is mostly iron, but has some carbon in it. Or instead of carbon has tungsten. Or manganese. These "foreign" elements help harden the iron as well as control how hard/pliable the steel is. If you really pump up the carbon content it becomes hard, but brittle.
Chromoly is steel with a chromium-molybdium blend. The 4130 is actually a mix of iron, carbon, manganese, chromium, molybdenum, phosphorus, sulfur, and silicon. Still, 97.5% of it is iron, the remaining 2.5% is the other stuff. The aim is to make a frame which has high tensile strength (the point at which it breaks being pulled straight apart - as opposed to bent on a tree for instance) as well as being malleable. And of course it needs to be weldable. You can have the greatest material in the world but if the welds fail you can use it as a door stop and move on.
Also, the 4130 classification is the set of materials listed above. The actual ratios varies, and my 4130 mix may or may not be the same as your 4130 mix.
Reynolds is a company that makes steel, as is Columbus. Getting the actual material composition on those blends is probably going to be tough to come by unless you work there, and maybe not even then. Basically, they're all trying to build a better mousetrap. Now the True Temper OX is apparently made in the US, if that's your thing. I guess Lemond went from the Reynolds 853 to the TT OX a few years back, not sure if they still use that? Some people say it's actually too stiff, that it rides like aluminum. TT is also "seamed" which a lot of people don't like, but people are strange.
Then you have different things like wall thickness which will change the ride characteristics. So a Reynolds 853 frame might feel completely different based on the wall thickness or diameter of the tubes. So you can't just say you want to buy a bike with X kind of steel and go with that.
Some or all of this post may be wildly inaccurate. Who really knows?