It's all bull. An electric resistance element with a fan behind it, in a fancy box with a picture of a fire (maybe backlighted).
The web site mentioned "technology from the China coast".
All the pictures must have been carefully staged, imagine the Amish building those using the hand wood working tools in the pictures, in one of their barns. Absurd.
And yes, it is true that the Amish usually do not allow their pictures to be taken.
On the website there is a fleeting mention of the Mennonites as well, I suppose that's to help validate the claims.
Usually the Amish women don't work outside of the home, so seeing the women in the "Fireless Fireplace" factory further adds proof that it's all staged.http://lancasterpa.com/amish/