Complete guess for sure....There is a death showing in Lanarkshire for an Agnes Jess/Chalmers born 1870 in 1905. Wondered whether this could be the Agnes Chambers in that 1901 Irish census entry?
Monica
Added: Close but not close enough I think. Agnes Jess, wife of William Chalmers, died 1905. Daughter of John and Margaret Jess. I am assuming this Agnes is the same as the Agnes in 1901 in Ireland.