There are a couple of ways of determining if you have carbon steel or mild steel. The easiest is to try to harden it by heating to beyond magnetic and quenching in transmission fluid. Now see with a file it if got hard. If not, it was mild steel. The other method is by looking at how it sparks on a grindstone. Lightly touch a non-working part of an old tool like a hand saw, file, axe, chisel, etc. to a grindstone to cast a nice stream of sparks in a darkened room. See how the sparks fork multiple times like the very devil's pitchforks? Now do the same with a piece of tie wire. The sparks should differ in color and not fork much at all.
This is all complicated by the complex steels available now.