By chance I came across this thread from six years ago, and it might be worthwhile to update it, in case anyone is browsing through "Littlewood" posts to find information.
I am now satisfied that the Joseph who died in Glossop in 1885 is NOT "my" Joseph, but is probably the “Joseph Littlewood” recorded in the 1881 census as living with his wife Maria in Hadfield, Glossop, and referred to by Spendlove. The fact that Maria is recorded as marrying again in 1890 adds strength to this viewpoint.
However, the Joseph that Spendlove refers to as being a Hammerman in the Barrow-in-Furness area in the 1871 census is still living there in the 1881 census, married to Sarah. This is "my" Joseph, my gt-grandfather, and it would seem he died there in Feb 1884, according to the Furness Burial Records on FindMyPast. - although to be fair, I have not yet been able to confirm this with any BMD data.
Thanks to everyone who contributed.