This is interesting, from the 1881 census [on Familysearch]:

Margaret CARRAN Head W Female 63 Patrick, Isle of Man, Farmer's Widow of 6 Acres
Eliza Catherine CARRAN Daughter U Female 22 Patrick, Isle of Man, Farmer's Daughter
Eleanor M. CORRIN Grand daughter Female 2 Arbory, Isle of Man
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Source Information: Dwelling Pt Erin Rd (Cragganmore No 1)
Census Place Patrick, Isle of Man, Isle of Man
Family History Library Film 1342344
Public Records Office Reference RG11
Piece / Folio 5596 / 6 Page Number 5

This is Eleanor Margaret the eldest daughter of William Corrin & Annie Carran bapt 4 Feb.1879 Ballacrie, Arbory, according to the IGI (extracted entry), with her maternal grandmother.

I assume your William John is the "John" aged 3 with his parents and sister Alice 1 at Ballacrie, Arbory, in the 1881 census? - Father William Corrin Farmer of 32 acres.

Sue