It may not harden well, but it may harden well enough.
You can buy quench oil, but you can also use water or any other oil. And since your'e not sure what type of steel it is, it may not hurt to try in on a few scrap pieces of the steel. After the quench, try to get a file to bite, and if it does, either the forge was not hot enough or the quench took too long. Just be careful with splatter, burning oil, and boiling oil.
Some only put the first 1/2" of the blade edge into the oil, but I quench the entire blade.