I second what Rick says.
Here is the first picture in the sequence of welding an axle together, in the captions I explain a little about each step.
http://thumb9.webshots.net/t/59/459/8/12/49/2537812490080251109qAJiLJ_th.jpg I covered the axle with a ceramic wool blanket when done post heating, it was still slightly warm the next day when I uncovered it. A big bucket of wood ashes is also a good insulator, and could have been used just as well as the blanket to keep the heat in.
Grigg