Hi JK. This is my family. I have been researching since the 1970s. The surnames are recorded as Flannelly and Flannery on different records, which can be misleading. The earliest info comes from 1920 when Dan Flannelly (born circa 1859) applied for the Old Age Pension and the authorities checked the 1851 census to see if his family was recorded on it prior to his birth. The marriage date of his parents and the birth dates of his siblings stem from the 1851 census. Later info comes from the parish registers primarily.
James Flannelly married Margaret Kilbride in 1833 and they lived in a dwelling at GPS 54.086311,-9.071403 on the first edition 6 inch map (1837). Initial research indicated that they had at least 12 children on record: [1] John (born circa 1835) married Ann Murphy in 1875; [2] James (born circa 1837) married Mary Kilmartin in 1863; [3] Michael (born circa 1839] married Winny Rafter in 1864; [4] Tom (born circa 1841) married Bridget Kilgallon in 1869; [5] Anthony (first of that name) (born circa 1842 but died in infancy); [6] Pat (born circa 1844); [7] Martin (born circa 1846); [8] Owen (born circa 1848); [9] Mary (born circa 1849); [10] Kate (born 1850); [11] Anthony (second of that name) (born circa 1856) married Bridget Ferguson in 1882; [12] Daniel (born circa 1859) married Margaret Kilmartin in 1878. I am a descendant of [12] Daniel.
Initial research on Tom Flannelly and Bridget Kilgallon indicated that they had at least 7 children on record: [1] Martin (born 1870); [2] Michael (born 1872); [3] Mary (twin) (born 1875); [4] James (twin) (born 1875); [5] Catherine (born 1878); [6] Thomas (born 1884); [7] John (born 1890). Some children might have been missed because the parish registers can be difficult to read. More children might be found using the irishgenealogy.ie website so it's probably time for a second search.
I have quite a lot of info and I'm very happy to share if you care to make contact (flanneryclan@hotmail.com).