I can see a death on free bmds in Liverpool 1872, is that him?
If so, this is him on the census for 1871?
Key court, Liverpool, St Pauls Ward
JAMESON, Andrew, 45, b. 1826 Scotland
Margaret, Wife, 43, b. 1828 Wales
William J, Son, 21 b. 1850 Northumberland
Dennis J, Son, 14, b. 1857 Lancashire
Magnus, Son, 11, b. 1860 Lancashire
Andrew, Son, 7, b. 1864 Lancashire
Just in case it helps others to look

Barbara