Stewart,
You’re quite right about that type of engine being used for winding in the coal mines. Their use seems to have been confined to the mines in the North East of England. Most of them were single cylinder engines which must have made starting rather difficult – although there were some ingenious counterbalance systems employed.
There is a very informative book “Single Cylinder Vertical Lever Type Winding Engines as used in the North East of England” written by Alan Hill.
My grandfather (Roger Paul) had a model of such a winding engine and the attached photo (sorry about the quality) shows him demonstrating it at an exhibition in 1958. The prototype of the model was installed at Wingate Colliery in Co. Durham and was made by the Leeds Engineering and Hydraulic Co. in 1890.