Hamilton Gas Dryer
Cool Dryer, yes it is real late 50s but most likely early 1960s. The heat miser light comes on whenever the burner cycles off.
Yes this dryer could likely be restored, hopefully it does not have a constant burning pilot light, most Hamilton's did and it tended to destroy many parts of the dryers control panel and rust out the bottom of the dryers top.
The matching washer to this would have been a solid tub Norge built machine, even if the dryer was only used till 1981 the matching washer would have been LONG gone for at LEAST a decade.