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of Ducie Mills, Hulme Hall Lane, Miles Platting, Manchester.
Joseph Morgan was a Pewterer and candle mould maker and moved to Manchester in 1828 but in 1834 he patented a Candle making machine which revolutionised candle making (". . with three men and five boys will manufacture two tons of candle in twelve hours") - he improved and gained other patents in following years and extended his businesses to London and Birmingham - he himself died in 1882 but the business continued under one of his sons.
1847 An advert gives the address as Walker's Croft, Hunt's Bank. Reference to the 1849 OS map shows that this would be one building in a narrow row between Walker's Croft Cemetry and the River Irk, close to Ducie Bridge.
1862 ‘A prize medal has also been awarded to the very excellent specimens of candlewicks exhibited by Mr. J. Morgan, Manchester (3685). The display of these useful articles is very tastefully arranged, and the goods have been highly commended by those best able to appreciate their value.’ 
1862 Morgan Joseph Pewterers 60,61 Stafford Street 
1862 Morgan J & Co Pewterers, brass cock founders, beer machine manufacturers and bar fitters 60 & 61 Stafford Street 
1863 Morgan Joseph, Pewterer & Manufacturer of platted candle and patent self-consuming wick, and lever beer machines, pillar pumps, brass cocks, &c. DUCIE WORKS, Ducie bridge 
1882 Joseph Morgan died
1885 The proprietors of Morgan's lamp patents and safety lamps won an award at the Inventions Exhibition
1886 'Morgan Joseph and Son, manufacturers of all descriptions of wicks for lamps and candles, sponge cloths. etc. Dulcie Mills, Miles Platting. Trade marks "Bee Hive" and "Standard" oil wick.' 
1891 Directory (Manchester and Salford): Listed as lamp and candle wick manufacturers. More details
1891 Cotton Mills. Joseph Morgan & Son. Ducie Mills, Manchester 
1895 'Morgan Joseph and Son are the largest manufacturers of lamp and candle wicks in the world. Ducie Mills, Hulme Hall Lane, Miles Platting, Manchester. Trade marks "Bee Hive", "Standard Oil Wick" and "Light of the World"'. 
1903 'Morgan Joseph and Son are the largest manufacturers of lamp and candle wicks in the world. Ducie Mills, Hulme Hall Lane, Miles Platting, Manchester. Trade marks "Bee Hive", "Standard Oil Wick", "Light of the World" and "New Gauge Wick"'