Hi Wolfie,
I enjoyed the video,what a fantastic collection!
Diane is right about the naming of mill engines after the owner's wife or daughters.
Regarding a model,Peter Southworth of Chesterfield sold designs and castings etc,for a number of engines,including Corliss valve machines.
Sadly Mr Southworth passed away recently,but an aquaintance of his,I believe, has now taken over so the range so they should still be available.
http://www.southworthengines.com/