Here is a 33 minuite documentary on the famous Blackburn Factory. Its starts off a little slow but the factory pictures are very good and typical of how tubes were made in the USA. It appears they made a lot of their own equipment, some of which looks rather Rube Goldberg but so did the machinery I saw at the Sylvania factory in Pennsylvania.
The sad thing is that while this factory was ever and proudly expanding, transistor production had already started in earnest and their days were numbered. Of course, at that time it was thought the transistor would never overtake the tube, early transistors couldn't do much. Perhaps if they had not gotten so big they might still be around. This was a very big operation. Much larger than the Sylvania factory which was our last to build and last to close.
I happen to have a Mullard Radio Valve Manual from 1957 (around the time of this video) which does include 19 pages on transistor theory and application contrasted to 102 pages on valve theory and application. They were making some primitive transistors for small signal applications as did Sylvania, Tungsol, Philco and many other US tube makers who later dropped out of that field. The Mullard range of tubes was not nearly so large as RCA and other US makers and even though Television is given as a big reason for increased production, the range of TV tubes by Mullard is very small where the range of TV tubes in the US was very large.
Here's the link on youtube.
http://www.youtube.com/watch?v=GDvF89Bh27Y&feature=g-hist