Mark,
The way I was always taught to harden steel was to get the item (hook in this case) red hot. Then, quench (dip) in oil or water. Oil is a better choice in my opinion. However, this isn't as easy as it looks. There's hardening and tempering. In order to get the correct hardness you should really know what kind of steel you have. Because if you harden it too much it will get brittle and crack. There's a lot of science to this and I'm not an expert. The other question is what do you do to the attached blade as you try to harden the hook? I would like to see some more responses to this as I would like to learn as well.