It's a great old video! Watched it many times.

 

I have the VHS tape of that film since 1996, when I ordered it from Jaguar World Magazine. It also includes a "bonus" documentary of the development of the XJ40 from the wood mockup to when it was being driven and abused camouflaged in the Alps. A famous driver was the pilot but I forgot his name.

 

there is another one from 1956 when Queen Elizabeth visits the Jaguar factory and you can see XK-140s and MK-1s mounted on rotisseries. Lyons is shown with the queen showing her around.

https://youtu.be/KXtjWb2vcbs

(can't find the one with E types and S types being built)