Hi
Found this on 1881 census. First family is yours. Listed all Harrity families from Ireland.
42 King St
Place: Glasgow, Lanark, Scotland
John HARRITY M 52 Belfast, Ireland
Head
Tailor
Catherine HARRITY M 42 Armagh, Ireland
Wife
Mary Ann HARRITY 21 Glasgow, Lanark, Scotland
Dau
Dealer
William HARRITY 12 Glasgow, Lanark, Scotland
Son
Scholar
Catherine HARRITY 14 Glasgow, Lanark, Scotland
Dau
At Bookbinding
Eliza HARRITY 4 Glasgow, Lanark, Scotland
Dau
House
Place: Peebles, Peeble, Scotland
Michael HARRITY M 50 Ireland
Head
General Labourer
Mary HARRITY M 48 Ireland
Wife
Richard HARRITY 27 Temple, Edinburgh, Scotland
Son
General Labourer
Agnes HARRITY 23 Temple, Edinburgh, Scotland
Dau
Millworker
Michael HARRITY 20 Stow, Roxburgh, Scotland
Son
General Labourer
Bridget HARRITY 16 Fallow, Edinburgh, Scotland
Dau
Millworker
John HARRITY 14 Fallow, Edinburgh, Scotland
Son
Apprentice Mason
Dominic BONNER 20 Ireland
Boarder
General Labourer
Patrick MENUEN 60 Ireland
Boarder
General Labourer
Frank GREEN 31 Ireland
Boarder
General Labourer
Connal GREEN 20 Ireland
Boarder
General Labourer
Anthony O'DONNELL 19 Ireland
Boarder
General Labourer
John DON 30 Ireland
Boarder
General Labourer
41 Close
Place: Old Monkland, Lanark, Scotland
Stephen HARRITY M 38 Ireland
Head
Labourer Iron Works
Julia HARRITY M 34 Ireland
Wife
Labourers Wife
John HARRITY 15 Ireland
Son
Labourer Tube Works
Mary HARRITY 14 Ireland
Daur
Engaged At Home
56 College St
Place: Glasgow, Lanark, Scotland
Neil MC PHERSON M 31 Kilbrandon, Argyll, Scotland
Head
Calenderer Wincy Finisher
Christina MC PHERSON M 25 Glasgow, Lanark, Scotland
Wife
Archibald MC PHERSON 3 Glasgow, Lanark, Scotland
Son
Duncan MC PHERSON 1 Glasgow, Lanark, Scotland
Son
Edward HARRITY U 35 Ireland
Lodger
Calender Starcher
Also found:
CATHERINE HARRITY
Birth: 04 AUG 1866 Clyde, Glasgow, Lanark, Scotland
Father: JOHN HARRITY Family
Mother: CATHERINE HAFFEY
WILLIAM HARRITY
Birth: 13 FEB 1869 Clyde, Glasgow, Lanark, Scotland
Father: JOHN HARRITY Family
Mother: CATHERINE HAFFIE
I will let you know if I find anything else.
Janice