re Samuel Cardwell - see screenshot below but I'm pretty certain that says 'Ireland, Downpatrick'... i.e. county Down
The address for the family is 31 Thomas Street, Liverpool and the details listed in 1871 are :
Samuel Cardwell 65 Head , Tailor - Downpatrick, Ireland
Mary Cardwell 42 Wife - Chester Tarvin,
Eliza Ann Cardwell 3 Dau - Lancaster Liverpool,
William Samuel Cardwell 7 Son - Lancaster Liverpool,
(name/age,occupation - place of birth)
they are sharing the house with a number of other people.
Shane