Here's a bit more. WH Carrington & Co. was founded by William Henry Carrington (1854-1938). William was one of four children, and the only son, born to John Carrington and Elizabeth Wilson (m. 1852). The family was from Stockport in Cheshire, and had apparently been cotton weavers. Certainly that was John's occupation for years before becoming a tobacconist sometime in the 1860s.
William Henry followed in his father's new trade, and by the 1881 census is listed as a tobacconist in his own right. A few years previously, in 1878, William Henry had married Martha Ann Wait. Together they had four children, three sons named Squire Sydney (1879-1963), William Arthur (1884-1955), and Stanley Marmaduke (1882-1923). They also had a daughter named Elsie Anne (1888-?).
All the boys followed in their father's footsteps for at least a while. Stanley may have retired early, perhaps due to the condition that caused his death at 35. The other two, Squire Sydney and William Arthur, continue to be listed as active in the fancy goods and pipe industries for many years.
WH Carrington as an entity dates back at least to the late 1880s. It continued to exist for about a century, with liquidation notices appearing in the London Gazette in 1987. Whether or not the business remained in the family that whole time is another matter; I doubt it, but have no evidence one way or the other.
The business operated out of a variety of Manchester addresses over the course of its life; the presence of a specific address would facilitate dating pipes/cases/ephemera.
And I agree; it's a beauty, and ought to clean up very well indeed.