Early wallpapers were very expensive and heavily taxed, afforded only by the upper middle classes copying the more expensive fabrics used by the very wealthy as walling. The majority copied Spitalfields floral silks or brocades until the 19th century.

None of the fragments shown appear to be hand block printed, as was the norm up until about 1840. They all appear to be either very cheap machine roller prints on ungrounded straw based papers, from approx. 1830 onward or ‘Sanitory Papers’, the first washable papers printed in oil inks from copper rollers with a very distinctive soft dot stippled effect. This can be seen on the rosette with sepia lines that you date as 1720’s & the floral you date to 1780’s. They were invented in the mid 1870s when they were printed in shades of one colour and by 1880’s in multicolours, like your ‘Arts and Crafts’ and Art Nouveau papers.
The bright blue leaves are a synthetic Ultra Marine Blue, invented in 1830, becoming the height of fashion in papers about 1840. Before that it had been made from ground Lapis Lazuli, and the most expensive pigment available.

I am pleased that John “rescued” them all.

I could happily live with the oldest wallpaper. Not sure what that says about me 🙂

The wallpaper dated to 1690 is quite interesting, as I thought we at Manor Farm, Ruislip had the oldest wallpaper in situ in the country. English Heritage/ Historic England, when they uncovered some wallpaper behind some fielded panelling (typically 1730s panelling), they had some research done, and came back with the date c1700.