I can confirm that the PP numbers are not in my web pages. I have only a few examples of Perthshire Paperweights and for identification I rely mainly on the book: The Complete Guide to Perthshire Paperweights, by Colin & Debbie Mahoney and Gary & Marge McClanahan, published 1997.
A new book along similar lines is expected soon (?) covering the years from 1998 to the closure of the company in January 2002.
David's two weights are interesting because they illustrate a couple of the problems in identifying PP designs. Both are General Range weights made from 1968/9 to at least 1997, but the inclusion of a P cane dates them from 1978.
The first is a PP2 and should therefore be a "medium" size (approx 2 1/2 inch diameter) and have a hollow ground base. There was also a PP59 design, first made in 1983, which was identical to the PP2 except for having a top facet. The different design number for a particular PP pattern seems to be a standard thing when the difference is the addition of faceting.
So, we should be able to find a specific design number for the second weight with its top facet but with a millefiori pattern the same as another PP number.
Hmmm ... The millefiori pattern of this second weight is definitely a PP62, made 1983 to at least 1997. The weight should therefore be "large" (approx 3 inch diameter). However, the design details in the book say it has sixteen radial twists but David's example has only thirteen twists. And the book has no mention of faceting and there is no other illustrated design that fits this pattern. So this top-faceted version with 13 twists seems to be an oddity.
It is true that for some designs the actual production pattern did vary on occasion and perhaps David's version is just one example of a variation that was not noted during preparation of the book (which I believe was based primarily on the company records as far as they were available). Another possibility is that a top-faceted version of the PP62 was produced after 1997 and will be shown in the expected new book.
Simple, isn't it? Nope, nothing's ever simple, even with a "Complete Guide" book to hand :roll: