There is apparently a Henry Cluney (c.1819-1881), who's father was apparently a Francis Cluney, and also had a son called Francis, and also had a daughter called Harriet, which is a name that Alfred Cluney(1826-1873) and Francis Cluney(1828-1887) gave to their first daughters.
I am suspecting that this Henry Cluney is a brother of Alfred and Francis, and son of Francis who was married in 1815, it would be surprising if he had no other children until 1826.
Sources, references
I am not sure who you think you are, to be petulantly demanding sources and references for every speculative remark, hypothesis or suggestion, but on this occasion I will indulge your arrogance.
Henry Cluney appears in the 1851 UK census, aged 33, born Lancashire. He appears again in the 1871 UK census, aged 52, born Liverpool Lancashire. He was married on 4 June 1851 to Louisa Matthews, daughter of James Matthews, at All Saints, Lambeth, London. Henry's father's name is recorded as Francis Cluney. Source LDS Familysearch index. Henry's wife Louisa appears in the 1871 census, aged 53, born Churchfield Sussex. Churchfield is near Hastings. Henry and Louisa appear to have had three children.. Louisa Margaret Cluney ( 1852-1854 ), Louisa Sophia Cluney (b. 1856, appears in 1871 census aged 15 ) and Henry James Cluney ( 1854-1855 ). It would appear based on the location of these events, that they moved to Brighton, and later back to Lambeth in London again.
Henry and his family live consistently in Lambeth, London for more than 50 years.
A person going by the username of Maggie Kyte has posted a tree on the internet concerning this family. I note that a great-granddaughter of Henry Cluney married a man called Kyte in the 1920's, so I conjecture this woman is a direct descendant of this family. I sent her an email last week, I haven't had any response as yet. All of the details she has published about this family seem to be plausible, potentially verifiable and consistent. Based on what this Maggie Kyte has published, she seems like neither an idiot nor a fantasist. She even has photos of the more recent ones, presumably her own grandparents or great-grandparents.
Henry Cluney appears to have been married before Louisa Matthews. The 1851 census suggests he had at least three children before his marriage to her, with children Harriet, Francis and George aged 9 4 and 2. Maggie Kyte has posted a copy of the birth certificate of Francis Cluney (b.1847) online, which appears to state that his mother is Mary Cluney formerly Dixon. Neither Maggie Kyte nor myself can observe the apparent marriage of this Henry Cluney to Mary Dixon. Nor is the death of Henry Cluney's supposed first wife, Mary, apparent in the 1849-1851 time frame when she would have apparently died. This is an acknowledged lacuna in this hypothesis. Given the propensity of these Cluneys to visit Ireland, maybe he married there ?
Louisa Cluney died in 1875, aged 57, at Lambeth, and Henry apparently had a third marriage in 1875. Henry Cluney died in 1881, aged 62.
The LDS sources reveal a man called Francis Cluney was married to a woman called Margaret Horne at the Holy Trinity Church, Liverpool, Lancashire, England on 1 May 1815. The LDS sources record the baptism of 6 or 7 children for this couple, some of them recorded many times, and some of them under the name of Clooney and some as Cluney. These are Harriet Cluney, baptised 12 May 1816 at St Peters, Liverpool, Richard Henry Cluney bapt St Peters Liverpool 1818, Alfred Cluney bapt 15 Oct 1820 at St Peters Liverpool, Francis bapt 18 Sept 1822 at St Peters Liverpool, Alfred Blackly Cluney bapt 29 April 1827 at St George London, and Francis Frederick Cluney bapt 31 May 1829 St Dunstan Stepney London. Alfred born 1827 and Francis born 1829 were both in the military and both of them died in Australia. Both of them claimed to be the sons of Francis Cluney, an excise official, a very uncommon name ( except for four generations of this family ).
There are two Alfreds and Francis in this list. There are several scenarios which would have to be considered. (1) The first Alfred and Francis died (2) They were baptised twice (quite common) (3) They are completely different families and not connected. (2) is plausible, except that the military and australian records have ages which appear to confirm the birth dates of 1827 and 1829. That leaves (1) or (3).
Henry Cluney, who claimed when he married in 1851 that his father's name was Francis Cluney, and claimed in the 1851 and 1871 censuses that he was born in Liverpool, Lancashire , and gave ages corresponding to having been born in about 1819, may, or may not, be the Richard Henry Cluney baptised at Liverpool in 1818 with parents Francis and Margaret Cluney. Or possibly this Richard died and Henry was born the following year.
A Francis Cluney, who lived at Mile End Old Town, died in 1830. A Margaret Cluney aged 74 died in 1869, a plausible candidate for the Margeret Horne married in 1815 to Francis Cluney.