Genes Reunited
https://www.GenesReunited.co.uk/ has the earliest Thomas Carey listed under Ireland born 1781 The website also has a Grace Carey born 1758 Co Antrim the tree owner ‘Michael’ to see the tree you probably need to join.
rootschat Carrey, Carry even Currie.
Flax growers of Ireland 1796 i only checked co antrim and co downhas no Carey see
but haswww.failteromhat.com/flax/antrim.php
Curry Archibald Derrykeighan Antrim
Curry Jane Dunaghy Antrim
Curry John Culfeightrin Antrim
Curry John Dunluce Antrim
Curry Martin Billy Antrim
Curry Patrick Derrykeighan Antrim
Carry Edward Newry Down
1823-1837 Tithes Applotment Books I only looked for one spelling
based upon the index work of the Irish Genealogy Hub’s
listing for each parish in Northern Ireland,
The relevant original books are in the
Public Record Office of Northern Ireland (PRONI) Belfast
Carey, Price Townland: Carngraney Year: 1833 Antrim Antrim
Carey, Thos. Townland: Ballyscolly Year: 1833 Ballinderry Antrim
Carey, Bernard Townland : Liginanagh Year: 1825 Dunaghy Antrim
Carey, Hugh Townland: Four Towns of Dunean Year: 1833 Duneane Antrim
Carey, James Townland: Four Towns of Dunean Year: 1833 Duneane Antrim
Carey, Mary Townland: Four Towns of Dunean Year: 1833 Duneane Antrim
Carey, Townland: Ballyhome Year: 1828 Dunluce Antrim
Carey, Patk. Townland : Carniny Year: 1825 Portglenone Antrim
Carey, Henry Townland: Carncoagh Year: 1825 Skerry Antrim
Carey, Hugh Townland: Cruckanolly Year: 1825 Skerry Antrim
Carey, Rev. A. Townland: Clooney Year: 1834 Clondermot Derry
Carey, William Townland: Currin Year: 1828 Maghera Derry
Carey, Andrew Townland: Killeney Year: 1834 Garvaghy Down
Carey, Matthew Townland: Drummiller Year: 1834 Tullylish Down
Carey, Widow Tl: Macosquin Yr: 1828 Camus Tyrone
Carey, Widow Tl: Macosguire Yr: 1828 Camus Tyrone and Armagh
the biggest collection of records in the north is
https://www.nidirect.gov.uk/proni . eg they have lord Abercorn agent discussing Tristam Carey and his son Thomas discussing land in Co Donegal in 1766 but that Thomas owns land and will be older than your date
A reference for a Cary family tree, in the Blackwood Family History manuscript trees Collection in the LinenHall library, Belfast. Visit if you can give them warning helps, if you cant then I suggest you write to them asking them for photocopying estimates only if they think your knowledge relevant and be prepared to pay the extra for post and packing if you are tempted. Possibly out of date “The Library welcomes all research enquiries, whether made in person, by phone, fax, letter or e-mail. Enquiries from members will be answered free of charge. Visitors from afar, and in particular those engaged in serious research projects, are recommended to make prior contact with the Library to ensure that they receive the best possible service. More complex enquiries should be made by letter, fax, or e-mail. Enquiries of this kind from within the British Isles will normally be answered free of charge, apart from any copying and postage charges. A minimum charge of £2 will normally be made in respect of overseas enquiries. A4 photocopies b&w are 20p. The Library may be able to assist those with more extensive research requirements on terms subject to negotiation with the Librarian. Contact the Library for further information on
info@linenhall.com or Telephone 028 9032 1707. Their address is The Linen Hall Library,17 Donegall Square North, Belfast BT15GB, Northern Ireland, see their website for contact details or use Email:info@linenhall.com.
The volume references for
CARY Volume 65 has some Allen family history
you will be very lucky to acguire the irish link sought but I wish you that luck