They were made in various forms and under various names as far back as the 30s and well into the 50's (or even the 60s and 70s for the newer-styled electric models). They work great, and are perfect for an ovenless Scotty!
They are almost always available on Ebay and many are still "new in box"
(wedding presents, never used perhaps?). We've been using one since 2004 and Mabel, winner of two, including the first-ever, Ovenette cook-offs, swears by her's! I've scanned in the recipe booklet/instruction
guide. If you print it front and back, you can actually put
it together like the original.
This is an Ovenette. They were earlier made by Stanley. Many sold on Ebay are incomplete. The pans are not necessary but the cover, preferably with the thermometer in it, the base that fits over the burner, and the stand that sits between the base and the pan are necessary. Small cake cooler stands, 7" or less, can substitute for the stand, but absolutely needed is the cover and the base.
Courtesy of fr8tshaker: I accidentally found a source to get replacement pans while searching on Amazon for personal pizza pans. I wanted 2 of these so I could half the recipe of a standard 2 layer cake and pour the batter in these 2 little pans so I would end up with the perfect size 2 layer cake for 2 people.
Wilton Cake pans come in many different diameters and depths. I realized that the meat pan which is the most difficult to replace due to its high sides could be obtained through Wilton. Also the individual muffin cups could be replaced with their very small diameter cake pans. Of course the round cake pan and pie pan are quite easy to replace, as is the rack.