Records of annual meetings of the Marblers/Stone Cutters were held at Corfe Castle and meetings reflect statements that some members were descendants of Phoenicians. However, no confirming information found except for records of "Phoenician coal money" being found by the local miners.
Prehistoric and Romano-British Kimmeridge Shale: https://bnss.org.uk/sections/museum/objects/coal-money/

Source: https://bnss.org.uk/wp-content/uploads/2019/07/Kimmeridge-QR.jpgXX remove xx

Project Gutenberg's Thomas Hardy's Dorset, by Robert Thurston Hopkins
The great majority of the old quarry-owners were members of a dozen
families only, there being just a score of Bowers; Collinses, Harrises,
Haysomes, Normans, Phippards and Tomeses averaging half-a-dozen each;
with Coopers, Corbens, Landers, Stricklands and Bonfields not far
behind.

http://www.gutenberg.org/files/43565/43565-8.txt
New-comers were much disliked by the quarrymen, and the custom of
"marrying the land" was observed in former days and, for aught I know,
may be observed now. However, we do know that "foreigners" were not
allowed to hold land in the Isle of Portland a hundred years ago, and
the inhabitants, who claimed to be true descendants of the Phoenicians
who traded with Cornwall and Devonshire for tin, kept themselves a
distinct people. In "marrying the land" the contracting parties met at
church, and joining hands the one who handed over the property simply
said: "I, Uncle Tom" (the surname was never used by the quarry folk),
"give to thee, Cousin Antony, such-and-such land." The clergyman then
placed his hands over the others, and the contract was concluded.