The family seems to have gone mainly to one church. Whether these are all family members is something you will have to find. I didn't see many marriage records for the family.
Meredith Osborne and Margaret Patterson baptized William Henry at Lurgan First Presby Church. These are baptism records from that church. Wm Henry was born Jan 19, 1872 and Meredith was a weaver in Ballymacateer. Elizabeth Ann b. April 14, 1865 in Toberhewny, Jane Oct 21, 1863 in ToberhewnyRobert Aug 20. 1862, Meredith born Dec 25, 1873 Robert May 31, 1876
Probably related to Meredith is John Osborne who married Ann Webb and also was a Ballymacateer weaver. They had Robert in March 4, 1872, Henry March 4, 1870, Ellen Jane Nov 15, 1864, Jacob Dec 2, 1862, William Oct 15, 1855 Tullyheron, John Nov 1 1857 TullyheronRobert April 14, 1860 Tullyheron, Mary Ann March 11, 1875
Another weaver from there is Robert Osborne and Elizabeth Hull who had James June 30, 1970 , Thomas Oct 17, 1872
William Henry and Sarah Uprichard had son Thomas was born July 5, 1903, Gertrude 4-9-1910. Since they had Maggie about 1898ish and I don't see that baptism, I assume she was baptized at her mother's church and the wedding might also be through her church. I can't easily see Lurgan First marriages from that period. .
Meredith had Henry Dec 19, 1906
Also possibly related is Jane Osborne, father Robert of Ballymacateer. a weaver, who married George Graham 2-11-1867a weaver in the same town with weaver father John.
James Richey 20 of Lurgan son of Laborer John married Elizabeth Osborne dau of farmer Robert of Ballymacateer Dec 1854,
Less promising is Joseph McDowell, son of Richard of the same town, all weavers married Mary Osborn of Corcreany (Co. Down) father John Dec 25, 1856
The church records don't give details early on and I didn't notice whether these are all births or some baptisms.
William son of Robert born Oct 28, 1824
John to Robt Osborn Oct 27, 1826
Francis son of Robt Osborne by Elizabeth Miles Dec 4, 1822, Francis Dec 4, 1828 (sounds like a transcriber error somewhere here, probably b. 1828)
Francis to Ezekiel Osborne and Deborah Sewal April 5, 1838 Ballymacateer
William son of Henry Osborne and Susannah Greer July 16, 1830, Henry March 19 1835 in Ballymacateer Mary Shaw b. May 10, 1843, Robert b. 2-1-1845 Belfast
John Osburn son of John b. Jan 8, 1762
William to John Osburn b. May 24, 1766
Records between 1875 and 1808 are missing and few exist until about 1820. I have a gap of about 100 records later on, also.