when and how did joseph wilson die?

[Merry]

He can't have died as early as 1920 as he had two children after that!! (That's why I asked you if you had your grandmother's birth cert, as you wouldn't be able to tell from the index entry if there was no father's name recorded.) There were no other likely deaths in Worksop.

If you don't feel any of those deaths is him then your next option is to either go via the burial of his wife as I've already suggested, or as you have an address for him and his wife in 1922 contect the library in Worksop and see if you can persuade them to check the electoral rolls for the address and see when he disappeared.