Heated Ironers
Have been around since about the late 1800's or so, though at first they were large devices confined to commercial laundries. Heat would have been supplied via steam.
As more homes on both sides of the pond became wired for electric power and or had gas connections, companies such as Simplex, Thor and Bendix began marketing ironers designed for home use.
Then as now such ironers were marketed to homes with large amounts of ironing including flatwork, thus mainly the middle upper and above households. Considering the amount of natural fabrics worn then, and amounts of linen, these ironers were the natural demand (or so their producers wished), for all housewives and the ironers along with the new washing machines helped milady (or her maid)get out from laundry day hell.
Originally ironers came with roller widths ranging from about 20" to 44", with some models sold in Europe nearly 60". But soon the standard size in the US was between about 18" and 25", though Whirlpool did have a cabinent ironer with a 33" roller.
One still sees early gas powered ironer from the likes of Maytag, Simplex and such popping up on eBay and estate sales. Usually someone has purchased an old home and found the thing in the basement. Both maytag and Ironrite had gas heated versions as well, but IIRC, they were marketed for commercial use.
The heyday of ironers was probably post WWII when appliance makers returned to domestic production after the war effort, and began cranking out all manner and sort of appliances.
Brands included:
Thor,Maytag, Simplex, Speed Queen, Conlon, Frigidaire, Kenmore, Ironrite, and Bendix.
Ironers began to fall out of favour around the 1960's as not only did women begin entering the work force in large numbers, but wash and wear fabrics began showing up not only in apparel, but bed and table linens as well.
Saftey standards for irons changed as well, especially in the area of UL approval and wiring codes. Pre-1960's it was not uncommon to find ironers that pulled nearly 1600 watts from an 15 amp circut, that simply wouldn't fly today.
However unless the ironer can generate a good heat to mass ratio, it will not iron and dry the laundry in one pass. This means laundry has to be fed through twice or several times. At that point it probably is easier to do the thing on an ironing table.