Here is a Daniel McKenna, born about the right time and with an Irish connection, in the 1881 census, living with his widowed mother:-
Dwelling: Thomass Bg
Census Place: Longbenton, Northumberland, England
Source: FHL Film 1342228 PRO Ref RG11 Piece 5084 Folio 96 Page 17
Marr Age Sex Birthplace
Abee MCKENNA W 52 F Derry Co, Ireland
Rel: Head
Daniel MCKENNA U 22 M Walker, Northumberland, England
Rel: Son
Occ: Fitter (Art...)
John MCRORY U 30 M Derry Co, Ireland
Rel: Lodger
Occ: Gen Lab
Harry