My grandparents’ refrigerator ran off of natural gas
Some Amish sects use natural gas or propane refrigerators.
Depending on the sect the refrigerator may be in the home or in an out building.
That’s the same with telephones; a lot of them think that if the ‘phone isn’t really in the house, it’s not such an unacceptable distraction to the religious life.
(I don’t think many of the traditional Amish will be with us much past a generation or two. The younger, devout people want a more direct connection with their Lord, and the Evangelicals are garnering a lot of them.)