Unfortunately, if it's not marked and you can't find any documentation about it, there's really no way to find out what exact steel it is short of sending the thing off to a lab for them to do a chemical analysis.
With some experience, you can narrow the list down based on how it behaves.
If I had to make a guess, based on how old the thing looks, what price range and purpose it seemed to be going after around the time it was made, and how it's reacting to corrosion, I'd guess something in the range of 1070 or 1080, or something fairly similar. Purely an academic guess, though.