I think these weights are from one of several yet to be identified UK glass factories that would have made some paperweights in the late 1840s - 1850s, when they were commercially successful items. None of the paperweights from this era were made by artists in studios - they were commercial products from the factories of hard-nosed Victorian business men. So if they were wanted by the retailers, and profitable, you made some. And if the orders did not come, or dried up, you didn't!
We know that many Old English paperweights were made in the Birmingham / Stourbridge area (but they may have been made elsewhere too). There were 19 glass manufacturers listed in Birmingham in an 1850 trade directory, and probably as many again in nearby locations such as Stourbridge and Dudley. Some of these worked in lead crystal glass, and produced high quality pieces - which may have included paperweights. Unfortunately, records of what any particular factory made are usually non-existent. We only associate paperweights with Bacchus and Islington (Rice Harris) because there are contemporary reports – which also mention ‘other makers’.
In the catalogue of the 1851 Great Exhibition there are 100 exhibitors of glass products from the UK – presumably all pretty competent glass manufacturers. Companies included Richardson; Thomas Webb; Davis, Greathead and Green; T Wood (all of Stourbridge); Bacchus & Sons; Lloyd & Summerfied; Oslers; Rice Harris; Chance (all of Birmingham); Molineaux and Webb of Manchester, who won a prize for their flint glass; Wood & Perkes of Barnsley (Wood plus two of his sons worked at Baccarat for a number of years in the 1840s…). How many of these – and other companies such as William Gammon, James Stevens, Samuel Shakespeare, and John Walsh Walsh (all of Birmingham), who did not exhibit - made paperweights, I wonder?
I have a 1968 book on paperweights that says that Davis, Greathead and Green made some paperweights, as did Thomas Hawkes of Dudley. Sadly, there are no references to the origin of this information.