I wondered whether William Kneen's father, John Kneen, farmer, might be alive in 1841, so I've investigated and found a John Kneen with wife Ann farming at Dollough Moar, Ballaugh in 1841 and 1851, but not in 1861.

I reckon that these are their burials:

KNEEN, Ann 72 Ballaugh 5 May 1857 COWIN

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KNEEN, John 74 Ballaugh 6 Sep 1856

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wills:
KNEEN, Ann 1857 Ballaugh E 34 0106458

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KNEEN, John 1856 Ballaugh E 58 0106457

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Donna, please would you see if there are MIs for these Kneens, plus any other likely Kneens nearby .

Thank you.

Jean C

PS. These may not turn out to be William's parents, but their wills are definitely worth viewing, in case they mention a son, William, in Liverpool.