I wondered if your Hugh Blair had a nephew named after him 5 years before emigrating . his 1812 birth lists his father as William. see
https://www.ancestryireland.com/family-records/birth-and-baptism-records-county-antrim-and-county-down/?search1=Hugh&search2=blair&condition=begins&submit=Search there are two so called census substitutes one in 1796 Flax growers of ireland the other Tithes Applotment Books 1823-1837 Tithes Applotment Books based upon the index work of the Irish Genealogy Hub’s listing for each parish in Northern Ireland, but you need to know the parish.The relevant original books are in the Public Record Office of Northern Ireland (PRONI) Belfast
1796 Flax growers of ireland from
https://www.failteromhat.com/flax/antrim.phpBlair John Ballymoney Antrim
1823-1837 Tithes Applotment Books
104 Blair head of homesteads listed in the tithes so reducing them to those carrying any of your short list of repeated first names you end up with just two civil parishes Carnmoney (outer north Belfast [Shankill] parish ) and Finvoy (The parish is bounded by County Londonderry and the civil parishes of Ballymoney, Killraghts, Killagan and Rasharkin[4] ie north Antrim)
arranged by civil parish then townland
Blair, Wm. Townland: Drumnadrough Year: 1835 Carnmoney Antrim
Blair, James Townland: Ballycraigy Year: 1835 Carnmoney Antrim
Blair, James Townland: Lower Ballysillon Year: 1826 Belfast Antrim
Blair, William Townland: Ballygilbert Year: 1834 Carncastle Antrim
Blair, William Townland: Hograms Land Year: 1816 Carrickfergus Antrim
Blair, James Townland: Ballyhibistock Year: 1827 Derrykeighan Antrim
Blair, James Townland: Ballyhibistock Year: 1827 Donegore Antrim
Blair, WilliamTownland : Shanaghy Year: 1834 Finvoy Antrim
Blair, William, Jr. Townland : Killens North Year: 1834Finvoy Antrim
Blair, William, Sr.Townland : Killens North Year: 1834Finvoy Antrim
Blair, Willm. Townland : Shanaghy Year: 1834 Finvoy Antrim
Blair, James Townland : Killens North Year: 1834 Finvoy Antrim
Blair, James Townland: Ballytober Year: 1834 Islandmagee Antrim
Blair, Willm. Townland : Ballywee Year: 1833 Kilbride Antrim
Blair, Willm. Townland : Grange of Kilbride Year: 1833 Kilbride Antrim
Blair, James Townland : Ballybeg Year: 1825 Portglenone Antrim
Blair, Wm. Townland: Ballyfore Year: 1830 Raloo Antrim
Blair, Wm. Townland: Ballyvallagh Year: 1830 Raloo Antrim
Blair, Wm. Townland: Ballyfore Year: 1830 Ramoan Antrim
Blair, Wm. Townland: Ballyvallagh Year: 1830 Ramoan Antrim
Blair, James Townland: Lifsnagawver Year: 1834 Rasharkin Antrim
Blair, James Townland : Lower Ballysillon Year: 1826 Shankill Antrim
just so you are aware
Blair, Hu. Townland: Drumanee Year: 1828 Ballyscullion Antrim & Derry
Blair, Hu. Townland: Tamlaghtduff Year: 1828 Ballyscullion Antrim & Derry
Blair, Hugh Townland : Rosedermot Year: 1825 Dunaghy Antrim
Blair, Hugh Townland : Mullans Year: 1834 Finvoy Antrim
Blair, Hugh Townland : Rosnashane Year: 1834 Finvoy Antrim
another useful source is
http://www.dippam.ac.uk/ied/ which includes emigrant information you just type in Blair
eg FOR NEWCASTLE & PHILADELPHIAThe Beautiful Fast Sailing American Brig,
RETRIEVE, Berthen 550 Tons,DANIEL HUNT, Master.
Just arrived from Philadelphia, after a passage of 28 days and
will be clear for the above Ports, by the 18th of August next.
As a number of passengers have been engaged in America for
this Vessel, very few can be accomodated; it is therefore
requested that those who intend going in her will make early
application to
MR.ALFRED LOUGHREY, at Mrs. Collen's (who canme by, and goes
out in the Vessel); Captain Hunt, on board, or the Subscriber,
who wil supply the Vessel with abundance of good Provisions
and Water.SAMUEL GLEN,LONDONDERRY, SHIP-QUAY, JULY, 12.
THANKS OF THE PASSENGERS.
WE the undersigned Passengers on board the Brig RETRIEVE,
CAPTAIN HUNT, beg for him to accept our thanks for his polite
attention to us during the Passage from Philadelphia, to
Londonderry.
JOHN A.STEVENSON,
GEORGE G.RICHARDSON,
ADAM DOUGLAS,
JOHN FISHER,
JOHN BLAIR
ROBERT THOMSON.
has John arrived to take other Blair back with him?
Good luck hoping others join in