The bells at Uckfield were cast at Whitechapel in the late 18th century and were taken to London in 1905 to be recast and tuned. Presumably not all of them were recast, as at least two have the original casting date on them, and they were probably just retuned.
The assumption is that they were taken back to the Whitechapel foundry, but they could have gone to Gillett & Johnston's foundry in Croydon, who were not only internationally known for bell casting, but they were also responsible for perfecting the art of tuning bells.
The firm was in the business of casting and tuning bells until the late 1950s and some of their bells were enormous. One sent to New York weighed 20 tons. The foundry was not rail connected and access for materials in and bells out was via a back street with right angle bends, albeit traffic was virtually non-existent then. In my copy of the book on the history of the company, there are numerous photos of bells being loaded on flat bed lorries, generally sitting on the rims without any obvious ‘padding’, although the very large ones, such as the Freedom Bell for Berlin in 1951, were loaded hanging from their steel headstock.
The company still exists, now concentrating on the clock making side of the business, which was just as well known as the bell casting side.