You are right , little chance that the parents would be recorded, but there is a chance.
The only other close death was Sarah Crebbin March Quarter 1876 aged 76, Lambeth. Could not find her on the 1871 census, then starting finding a lot of Cribbins.
So I checked UK BMD , found no marriages of a Sarah Cribbin , but a few deaths.
1863 West Derby no age given in 1863
1864 Liverpool (Sarah Ann)
1868 West Derby age 60
The 1868 death of Sarah shows burial at Toxteth Park , buried June 7, abode 99 Ellison Street Everton. It shows the grave was "half Purchased"