Hi Roy. What I was trying to get at was what proportion of the canes Whitefriars ever made were represented in your magic box. But I think your answer helps. A back of envelope calculation (which others may be able to improve) says that a single cane pull gives about enough millefiori pieces to make 4 or 5 paperweights. Now, how many paperweights did Whitefriars make? Using the same back of envelope, I estimate 30 years x 40 weeks x 25 paperweights per week on average, making 30,000 paperweights. So you need 6,000 canes, at least.....now some will appear very similar, but others get bundled into complex canes....so I estimate that there are between 5,000 and 10,000 different Whitefriars canes represented out there in paperweights. The magic box - as great an achievement as it is - is missing nearly every cane that they ever made! Consequently the absence of a cane from the Whitefriars set tells you very little about whether it is a Whitefriars cane. Incidentally, a reference book with 50 images per page would be feasible, at 100 to 200 pages.
The canes in the EIIR and Triplex weights are different from later canes, and contain a few strange designs such as double or even triple concentric loop centres. I wonder whether this is the Walsh Walsh influence, and whether a close study of these would show any continuity.....I feel an article coming on!