Eilingeissen a hamlet by a monastery

[Talroth]

I'd expect the mill to be next to the waterfall--there is more power available there.

Depends on the mill, building next to a falls/rapid would be harder than where there is a steady, but slow, flow of water. Now that you've mentioned it, I don't remember seeing any underflow water wheel being built close to a water fall. And overflow water wheels (ones where the water is poured into the wheel from above) tends to still be built down stream a little, and water diverted by a short aqueduct.