Wieland gets a brief mention in Mercer's
Chronometer Makers of the World, with dates, 1842-72 at 12 Warkworth Terrace, Commercial Road; 1876 at 699 Commercial Road East. Mercer notes #800 as a 'known' example with the indication that it is post 1879.
Wieland is not very well known. He sought a British Patent in 1858 , No. 2386; " Certain improvements in chronometers, watches, and such like timekeepers" - relating to an unsplit compensating balance rim.
You may be interested to know that in 1951 a Wieland chronometer was advertised for sale for £10!
I may look further into Wieland - he could be interesting, with a possible watchmaking grandfather or great-grandfather, John, who died in 1804.
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