Using
Griffiths valuation, in 1862 etc in Co Fermanagh you find 6 entries for William Bracken’s , one of which might be yours
see Griffiths valuation see
http://www.askaboutireland.ie/griffith-valuationBRACKEN WILLIAM KILLESHER civil parish, GALLAGH townland
BRACKEN WILLIAM KILLESHER civil parish, GALLAGH townland
BRACKEN WILLIAM KILLESHER civil parish, DRUMGAGUE townland
BRACKEN WILLIAM KILLESHER civil parish, CROSSMURRIN townland
BRACKEN WILLIAM CLEENISH civil parish CARRICKALOUGHAN townl
BRACKEN WILLIAM CLEENISH civil parish CARRICKNASEER townland
Via the Irish Tithes Applotment books If you can narrow that down by church records or tombstones you may still have problems connecting to 1826-1828 via the Irish Tithes Applotment books
Killesher civil parrishfrom
http://www.irishgenealogyhub.com/fermanagh/tithe-applotment-books/parish-of-killesher.php#.VlQy7EvBEYUBracken, Andrew Tl: Crusmurrin Yr: 1828
Bracken, Andrew Tl: Legnahorna Yr: 1828
Bracken, Edward Tl: Lanmore Yr: 1828
Bracken, Edward Tl: Salisgrove Yr: 1828
Bracken, Hugh Tl: Drumsillagh Yr: 1828
Bracken, Hugh Tl: Knockageehan Yr: 1828
Bracken, Hugh Tl: Leefan Yr: 1828
Bracken, Hugh Tl: Screen Yr: 1828
Bracken, John Tl: Doonens Yr: 1828
Bracken, John Tl: Lisderry Yr: 1828
Bracken, John Tl: Lismooley Yr: 1828
Bracken, Richard Tl: Derrylester Yr: 1828
Bracken, William Tl: Crusmurrin Yr: 1828
Bracken, William Tl: Lismooley Yr: 1828
Brackin, Andrew Tl: Killirnaho Yr: 1828
Brackin, Hugh Tl: Drumgague Yr: 1828
Brackin, Hugh Tl: Drumhack Yr: 1828
Brackin, James Tl: Drummuckabranaker Yr: 1828
Brackin, John Tl: Curragh Yr: 1828
Brackin, John Tl: Drumgague Yr: 1828
Brackin, John Tl: Gorteen Yr: 1828
Brackin, Richard Tl: Curragh Yr: 1828
Brackin, Richard Tl: Marlbank Yr: 1828
Cleenish civil parish in 1834
http://www.irishgenealogyhub.com/fermanagh/tithe-applotment-books/parish-of-cleenish.php#.VlQzkUvBEYUBracken, Hugh Townland: Gortahurk West Year: 1834
Bracken, John Townland: Aughrim Year: 1834
Bracken, John Townland: Carrickatrentan Year: 1834
Bracken, Richard Townland: Carrickniaflerty Year: 1834
Bracken, Richard Townland: Cordenybrock Year: 1834
Bracken, Richd. Townland: Gardenhill Year: 1834
Bracken, Richd. Townland: Templenefrin Year: 1834
If you can connect to a church denomination eg Agahadowey suggests the most likely C of I, Proni has an online guide to church records. For space I am only including Cof I
CLEENISH, CO. FERMANAGH
C.I. Cleenish (Clogher diocese)[Earliest registers destroyed in Dublin]
Baptisms, 1886-1947; marriages, 1845-1934; burials,
1886-1922.
Vestry minutes, 1823-; registers of vestrymen, 1886-;
preachers’ books, 1896-; Sustentation Fund account
book, 1893-.
MIC1/224
In local custody
C.I. Kiltyclogher [Partly in Cleenish parish – see under
CLOONCLARE]
C.I. Lisbellaw (Clogher diocese)[Earliest registers destroyed in Dublin]
Baptisms, 1877-; marriages, 1845-; burials, 1877-;
vestry minutes, 1827-; registers of vestrymen, 1870-
1930; preachers’ books, 1889-. In local custody
C.I. Mullaghdun (Clogher diocese)[Earliest registers destroyed in Dublin]
Baptisms, 1819-36 and 1878-99; marriages, 1819-34
and 1845-1921; burials, 1819-35 and 1878-1927.
Vestry minutes, 1871-; registers of vestrymen, 1918-
34; preachers’ books, 1905-.
MIC1/245
In local custody
KILLESHER, CO. FERMANAGH
C.I. Druminiskill Chapel of Ease (Kilmore diocese)Baptisms, 1862-1910. CR/1/27
C.I. Killesher (Kilmore diocese)Baptisms, 1798-1910; marriages, 1798-1909; burials,
1800-23 and 1827-95; vestry minutes, 1832-1920. MIC1/56; CR/1/27; MIC583/5
I think that prepares you for the future but narrowing the sources down would help you no end.
Good luck