We grew up with a floor furnace that heated the entire two bedrooms, one bath, one car garage converted to a utility/sewing room of my childhood home. There was a gas wall heater in the bath. It did provide a toasty bath time. The floor furnace had no ductwork like we have today with central heat/air. It was just a heater in the ground. I bet many of Plainview's older homes still have them in the floor.
You can see it in this picture on the bottom right. I loved to stand over this in the cold months and watch TV or read the paper.
If you look through the doorway on the left from the kitchen, you can see the corner of the floor furnace. That is if you can get past this cute shorts-dress, wiglet, textured hose, glasses and the precious pout (to hide the braces) that is shared in so many of my pictures and will show up in pictures still today!
I was never burned from the floor furnace, but I know many have furnace burn scars. Did you experience a floor furnace growing up?