... Maybe this topic could/ should be split.
I think it is useful to have the two weights in the same thread for comparison purposes.
The cane that Alsreto has pointed out as a match betwen his weight and the one on the pwts.co.uk site is not actually the same. In Alsreto's weight the cane has 12 cogs for the inner section, and 16 for each of the two outer sections. In the weight on the pwts site, there are two similar looking canes (albeit with a different colour inner ring); one has 12 cogs for each of the three "rings" and the other has 12 for the two inner and 20 for the outer.
This is a good example of what can appear at first sight to be the same cane but which proves to be different when the details are examined. And the same is true of the overall look of the weights. Without a label, it would be difficult to say that any of the weights like these were not all Fratelli Toso, or AVeM, or even "La Serranissima" (a name I have not heard of before).
Also, my understanding is that on Murano not all glasshouses made millefiori canes, but that many used canes made by the houses that did make them. And in some cases, the overall look and style of a weight cane be very similar amongst various makers. This adds to the problem of identifying a specific Murano maker.