That sounds like the right family as I know there was a Joel but there must have been more children as my Aunt was Ada too and she was born in 1925 at Whitehaven. That must be Ada's death in 1960, if it is the only one in Cumberland but its strange her age isnt right. Perhaps there was a hospital at Cockermouth that she went into, as she did live in Whitehaven. I presume you would need an approximate date to trace the death of John Hornsby and I dont know that.