1823-1837 Tithes Applotment Books
based upon the index work of the Irish Genealogy Hub
The relevant original books are in the Public Record Office of Northern Ireland (PRONI) Belfast
this record is very incomplete and is the simplest ie one liners no family connections shown etc
nevertheless sometimes locations help
Cullen has other spelling variants but none seem relevant
Cullen, Peter Townland: Terrygarve Year: 1832 Grange Armagh
Cullen, Peter Townland: Tullgarron Year: 1832 Grange Armagh
Cullen, Peter Townland : Mullaghmore Year : 1828 Loughgall Armagh
Cullen, Andrew-Townland: Drumanee Year: 1828-Ballyscullion-Derry
Cullen, Andw.-Townland: Old Town Downing Year: 1828-Ballyscullion-Derry
Cullen, Daniel-Townland: Tamlaghtduff Year: 1828-Ballyscullion-Derry
Cullen, Edwd.-Townland: Leitrim Year: 1828-Ballyscullion-Derry
Cullen, Henry-Townland: Tamlaghtduff Year: 1828-Ballyscullion-Derry
Cullen, James-Townland: Tamlaghtduff Year: 1828-Ballyscullion-Derry
Cullin, James-Townland: Tamlaghtduff Year: 1828-Ballyscullion-Derry
Cullin, Wm.-Townland: Rosnagallagh Year: 1834-Clondermot-Derry
sorry cant suggest more
good luck onwards