This certainly isn't a historical example, but I think it's such a good modern example that it's germane to this thread:
There's a series of books authored by David Gingery that details how--using hand tools--you can build a completely functional set of metalworking machinery. The process begins with making yourself a simple furnace and foundry to sand cast aluminum. Aluminum sand castings then form the basis of the next project: the lathe.
The lathe is constructed with the knowledge that inaccuracy in most of the parts of the machine doesn't affect the accuracy or function of the finished machine. Components that require accuracy are generally finished by hand scraping, just like Whitworth's surface plates. Mating components are constructed with only sufficiently good fit; designed with adjustment to take up slop/lash. By the time you start to need precisely-turned components to finish the lathe, the lathe is complete enough that it can be temporarily rigged to machine its own parts.
Once the lathe is completed to that point, you're set. Further books in the series use your manual skills and your new lathe to build a metal shaper, horizontal milling machine, and drill press. These are then used to go back and make the gears, dividing head, etc., to add screw-cutting ability to the lathe. At that point, the world's your oyster.
Now, being a modern series, certain short cuts are taken; cheap threaded rod and cold-rolled steel abound. But the point is nothing that it required for the lathe can't be created with a surface plate and some hand scraping or filing, with some thread chasing thrown in.
It's an interesting project and probably quite closely follows the developmental path of early toolmakers in most regards. Google search 'Gingery Lathe' for examples.
I hope that's interesting.
Regards