How were hand dug wells dug and lined with stone?

I think the question is more about how you dig while also casing the well in stone. Without some more elaborate design with sections of a progressively narrower hole, I would imagine that such well holes were initially dug completely down, with no casing, or perhaps a limited casing of some kind to prevent collapse during the digging phase. Then when the digging was finished, the casing stone was stacked from the bottom up. And hope you don't get a heavy rain while doing all this! Often wells had a roof, to lessen the change of rain and surface water wearing away the edge and casing, and contaminating the well water.