Pete M, thanks for the site. Most useful is the Greenway list of 1885, one familiar to many at the time. Botany was a popular hobby. I have two large leather bound albums, each sheet bearing a species of fern, all properly labeled with the name current at the time of collection, about 1870. These plants were collected and identified by upper class English women who studied botany as a hobby (they could not engage in scientific activity professionally).
Green willow has to be one of the species native to Britain, but I have no idea which species of Salix it is. Any botanically minded Britons reading this?
The weeping willow, Salix babylonica, came originally from China. Other, smaller willows may have a weeping form. There are a large number of species.
The herb-willow on the list is not a willow, but a perennial which dies down in winter, with pink flowers, often called fireweed in Canada and the United States. It grows in all countries of the northern part of the northern hemisphere.

These floral lists are a window on one of the activities of upper class Victorian ladies. They were not permitted membership in the learned societies; they did not go out and make discoveries, but they privately studied aspects of natural history, especially botany. Some rather astounding diaries and collections were put together by these women. Beatrix Potter, who wrote the Peter Rabbit stories, made some original botanical studies of fungi which she could not present.

"Withy" was applied to several willows, especially the osier willow and others which are flexible.