I would suggest that everyone learn about heat treating before offering suggestions.
Paul is right on, provided the part is made of hardenable steel.
Considering that the top jaw bent to begin with, suggests to me that the part is mild steel that has never been hardened.
If you do want to harden that part, heat it slowly and evenly to a bright red, checking with a magnet to determine when the critical temp is reached.
Plain steel parts lose magnatism when the critical temp is reached.
I would suggest inserting a piece of coat hangar wire into the hole and securing with a twist of the wire.
Soak at that temp for a few minutes, and quench in light oil heated to about 130 degrees. A quart of oil is probably enough for a one time use with such a small part. Transmission fluid works as well as any light oil. And slosh the part around in the oil until its warm to the touch.
Have the container of oil CLOSE by, so's the part won't cool as it's being transported to the oil.
It's best to have the container of oil rught under the part as its being heated. Gotta be careful to not turn over the container though. Don't ask.
Using a file, check to see if the part is hard by running the file across the top of the jaw. The file should "skate" across the metal. It should not "bite", or make any file marks on the part.
If there are file marks on the part, it is not made of hardenable steel and there is no need to to temper.
If, and only if, the part is hard, clean the scale and grungy oil off the part and place it in the kitchen oven as Paul suggested.
If the part is still soft, clean it up and install it on the gun. It will probably function as well as as it did prior to "heat threating".
J.D.