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The census is for Cumberland, England.
The births in Cockermouth with the Kinsella MMN are for a James McGivern who married an Elizabeth Kinsella, 1881, Whitehaven. John James, 1885 & a Mary Elizabeth, 1887 were both registered as their children. However, John J was certainly living with Michael in Annan, 1891.
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That McGivern family moved to Liverpool incl a John j. but have not been able to find your John J's birth so far.