That thing was c. 1940's, and the only educated guess I can find is that it might have been made by Lodge. But don't expect Lodge to know anything today.
I tried to find a photograph, so I could see the style of receptacle it has, but I can't find one. But, many vintage power cords can be found used, particularly on eBay. You see, a while back, someone did an instructional video on how buying up old cord from junk shops and yard sales and reselling them on eBay was a good way to make some money. Also, on some web sites:
Electrical cord sets for small vintage appliances
I suspect you can find one, unless it was a unique cord with the temperature controlled built into the cord. First, take a look on eBay:
vintage appliance cord | eBay
That's to get an idea what sort are out there and what you have to know to find a fit. See if some of them look right. Ask the seller for detailed measurements, and see if it sounds like a fit. The good news is that there was a fairly limited range in use. It was pointless for a maker to design something themselves when there were plenty available to use.