I note that a son Thomas was the informant on her death cert and her husband is recorded as a gardener, so I think that this might be William Brodie and Agnes in 1861
Seafield, Santan, Isle of Man
RG9/4432/18/6
William Brodie, 39, gardener, b. Scotland
Agnes, 39, b. -do-
William, 15, Ap gardener, b. England
Ann M, 13, b. I of M, Arbory
James, 8, b. I of M, Santon
Thomas G, 3, b. -do-
Robert O, 4 months, b. -do-
1851
Cropag Road, Malew, Isle of Man
HO107/2526/95/2
William Brodie, 28, gardener, b. Scotland
Agnes, 28, b. Scotland
William, 5, b. England
Anna M, 3, b. I of M, Arbory
And in 1871
Clint, Crossmichael, Kirkcudbrightshire
Agnes Brodie, 46, gardener's widow, b. Hawick
James, 15, gardener, b. Castletown, I of M
Thomas George, 13, b. -do-
Robert Oliver, 10, b. -do-
and 1881
4 Murdoch Terrace, Edinburgh, St Cuthbert
Agnes Brodie, 60, formerly laundress, b. Hawick
Robert O , printer, b. I of Man
As you will know, Cavers is very close to Hawick
JL