This may be a long shot however, most of the Falloon family I have researched immigrated to Australia between 1841 and 1877. There is not a lot of documentation available in Ireland so most of this information is from primary sources in Australia. Given the similar use of names in this family I wonder if Rev John Falloon is related to Rev. Charles Falloon.
Rev John Falloon incumbent of Ballymore 1824 to at least 1851. He was married to Catherine Johnston. They had 7 children, possibly more,6 of whom migrated to Australia with only Brinsley Edward Falloon remaining in Ireland. Catherine died between 1836 and 1841.
Rev R. H. Nixon signed Anne Maria Falloon migration documents.
Edward Leslie(Shepard) Falloon travelled twice to Australia once in 1841 and 1844 he died in Liverpool in 1872. Anna Maria Falloon, his daughter was an executor of his will.
Taken from England & Wales, National Probate Calendar (Index of Wills and Administrations),1861-1941 record for Edward Sheppard Falloon
Back to Rev. John Falloon's children
1 Anne Maria Falloon abt 1816 Ireland d.13 Nov 1872 Surrey Hills Sydney Australia, arrived Sydney 1841 Marquis Hastings
2 James Whitelaw Falloon abt 1817 Ireland d. 14 Oct 1880 Surry Hills Sydney Australia, arrived Syd. 1853 Gypsy Queen
3 Wilhelmina Maria Falloon abt 1822 d. 18 Oct 1856 Carngham Victoria Australia, arrived Sydney 1841 Moffatt m. 1st Joseph Gregg 1844 Melbourne Australia Walter E. Gregg b. 1846 d. 1847 m. 2nd William Warren 1853 Carngham Victoria Australia
4 John Daniel Falloon abt 1823 Ireland d. 1888 East Melbourne Australia, arrived Melbourne 1877 Whampoa: Head of Farra School Westmeath Ireland m. 1st Georgiana Murray 29 Aug 1853 St Andrew’s Dublin d. 1858 Westmeath Ireland Edward John Falloon abt 1856 Ireland d. 1941 Kew Melbourne Australia arrived 1877 Whampoa m. Honora Pilkington m. 2nd Mary Ruthven 1863 Saul Parish Downpatrick County Down Northern Ireland arrived Melbourne July 1877 Whampoa
William Ruthven Falloon b. 1865 Westmeath Ireland Jane Kathleen Georgina Falloon abt 1870 Westmeath Mary Ann Lousia Falloon abt 1871 Westmeath Ireland Eliza Ellen Mildred Falloon abt 1872 Westmeath Ireland Brinsley Edward Falloon b. 1874 Westmeath Ireland John Daniel Edward Falloon b. 1876 Westmeath Ireland Whampina Hynes MacKenzie Falloon b. 1877 Mel. Australia Ruthven Southwell Falloon b. 1879 Melbourne Australia
5 Catherine Jane Falloon abt 1825 Ballymore Ireland d. 1855 Ballarat Victoria Australia m. John Veitch 1845 Geelong Victoria
6 Brinsley Edward Falloon abt 1826 Ballymore Ireland d. 1875 Tullamore Ireland
7 Elizabeth Falloon abt 1836 Ballymore Ireland d.30 June 1904 Donald Victoria Australia, arrived Sydney 1850 Oriental m. Thomas Tom Lane 19 Mar 1851 Bathurst Australia
Brinsley Edward Lane b. 1852 Orange Australia Jemima Catherine Jane Serjeant Lane b.1854 Orange Marcus Falloon Lane b.1856 Orange Australia Leith Nixon Lane b.1858 Orange Australia Edward John Lane b.1860 Orange Australia Robert Keith Lane b.1862 Orange Australia Carus Jason Lane b. 1863 Orange Australia