Stick A Fork In Them,
They're Done, Conlon that is.
You might get away with using a modern heating element, but that is going to require you remove the old and get the information regarding wattage,type and such, and of course the proper size.
Or else, hunt down another Conlon ironer and use it for parts.
The late Mike Arnold was a whizz with vintage ironers,and aside from the now defunct Ironrite site, cannot thing of who else would have parts or part information.