Because we don't know what kind of steel it is made from I would suggest trying the Oil Quench method first.
To do this, you will need a method of bringing the frizzen up to a bright red/yellow heat. (Don't let it get into the bright yellow heat range because that can alter it's composition.) One propane torch might work but two are better. If you can't get two, you can make a charcoal fire. When the charcoal is totally lit, put the frizzen into it between several lumps. Get an electric fan and direct its blast at the charcoal. When the frizzen is bright red/yellow colored, pull it out of the fire and rapidly dump it into a pan of motor oil. You must work fast! You don't want it to cool while it's being moved to the quench.
When it's cooled, try to file the edge of the frizzen. If you can't file it more than making a bright spot, the hard part is done.
If the file cuts the material freely, it is a water hardening material.
Repeat the heating process and dump it into a pan of water.
This time, the file should only make a shiny spot on it (unless it is low carbon steel which had been case hardened).
If it was low carbon steel you should case harden it using Kasenet.
Assuming it hardened with one of the above processes, lightly sand the black crud off of it and polish it up a bit.
When it's bright, use one propane torch set as low as it will go and begain gently heating the lower leg of the frizzen.
You want to especially heat the area where the screw goes thru it but try to maintain a fairly even heat across the bottom including the corner where the frizzen goes up.
This heating will turn the metal yellow, brown, purple and blue, in that order. When it gets to the blue color dump the frizzen into a pan of oil and let it cool.
It is now hardened and tempered and should be ready for use.