Following up with Jean's last sentence: "As for John Caley, father of Annie Caley b 1855, I suspect that he might have been John Caley b 1829 Lezayre, son of John Caley and Catherine Gelling. But it would be difficult to prove.".
The history of this particular John Caley is that he was the eldest son of John Caley (abt 1796 - 1887) & Catharine Cowan (nee Gelling) (1793-1874) who married 10 Aug 1826 at St Nicholas Whitehaven. Catharine Gelling was b 1793 eldest d/o William Gelling & Margaret Kenneen, md 1792 Braddan. Wm G was part of the Ballaclybane Braddan set of Gellings. Catharine Gelling likely is the one who had an illegitimate daughter Catherine in 1819 Lonan who died soon after. She married Thomas Cowin 1821 Braddan, had one daughter Ann Cowin 1822-1878 (who ultimately married John Curphey 1850 Lezayre and then widower William Caley (b 1813 s/o Arthur Caley & Ann Kewley) in 1867). I don't know what happened to Catherine's husband Thomas Cowin, but perhaps they moved to Whitehaven and he died because she subsequently married John Caley there in 1826. The 5 children of John Caley Sr & Catharine Gelling were all baptized in Lezayre.
John Caley, eldest son, was baptized 22 Feb 1829 Lezayre and buried there 11 Feb 1901 age 71. He never married. He lived with his parents in Lezayre, and was age 22 at Ballacaley "employed at home on farm" in 1851, age 31 at an Intack on Cooilbane estate "Quarrier" in 1861, age 42 at Cooilbane "Lab" in 1871. In 1881 John Caley age "46 farm labourer" is with his 84 year old widowed father ("Farmer of Eight Acres") in the same house at Curragh Road Lezayre as his half-sister's now widowed husband William Caley aged 68, a Quarrier. By 1891, John Caley is alone at Cavilbane, Clenaugh Rd Lezayre age 63 Gardener & Farmer. [a gold star to anybody who can follow everything that I just wrote].
This John Caley theoretically could be the father of Ann Caley b 1855 but as Jean says, very difficult to prove.