So Willison do you know more than you are still telling us?
Genes Reunited see
https://www.GenesReunited.co.uk/Donald McCormick 1791 Rathlin Island, Antr... treeowner Michael
the first of 2 Donalds found
no trace of your Michael or Agnes Orr
a Unknown) McCormick 1811 Scotland ... treeowner Andrew
a robert McCormick living in Roonevoolin, Rathlin1847 treeowner Michael
Tithes Applotment Books see irish genealogy hub
McCafferty, John-Townland: Clonreagh Year: 1828-Ardclinis-Antrim
McCafferty, Wm.-Townland: Conagher Year: 1825-Ballymoney-Antrim
McCafferty, Wm.-Townland: Conagher Year: 1825-Ballymoney-Derry & Antrim
McCaferty, John-Townland: Ballymacomb Year: 1828-Ballyscullion-Antrim & Derry
McCafferty, John-Townland: Torglass Year: 1831 -Culfeightrin -Antrim
McCaferty, Widow Townland: Tavanagh/Brack/One/Norkat Year: 1826-Layd-Antrim
McCaferty, John-Townland: Ballymacomb Year: 1828-Ballyscullion-Antrim & Derry
McCaferty, John-Townland: Ballymacomb Year: 1828-Ballyscullion-Derry
McCafferty, Edwd.-Townland: Tamnymore Year: 1834-Clondermot-Derry
McCafferty, Robt.-Townland: Tamnymore Year: 1834-Clondermot-Derry
McCafferty, Robt.-Townland: Tamnymore Year: 1834-Clondermot-Derry
McCafferty, William-Townland: Tamnymore Year: 1834-Clondermot-Derry
McCafferty, Edward-Townland : Bolies Year: 1835-Faughanvale-Derry
Mccaferty Dominick Skeely Kilmacrehy Clare
Mccaferty Neil Skeely Kilmacrehy Clare
Mccaferty Dominick Skeely Kilmacrenan Donegal 1825
Mccaferty Dennis Arabawn Mevagh Donegal 1828
Mccaferty Hanna Cashel Hill Tullaghobegly Donegal 1830
McCafferty is focused in Co Donegal , with a little Clare
http://titheapplotmentbooks.nationalarchives.ie/ has many more
I couldn’t find any 1660’s hearth money roll records for them at all
McCormick, Donald-Tl: Curramore Yr: 1825-Bodoney Upper -Tyrone
the second Donald I could find
Griffiths Valuation
Mccormick Anne Legcloghfin Bodoney Upper Tyrone
one could search for matches in the same parish in the tithes which would take a lot of time without definite results
good luck onwards