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I’ve now looked properly at the census entries which David described yesterday. Here they are:

1881
Ballakerkey, Patrick

Ancestry’s transcription:
Name Age
Ann Quayle 52
Ann Quayle 20
Isabella Quayle 10
Isabella Kelly 75

Ann, future wife of Edward Clague b 1847, with her mother, sister and maternal grandmother, all b Patrick

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1891
Ballakerka, Patrick

Ann Quayle wife 60 husband at fishing b Patrick
Isabella Kelly mother-in-law 88 b Patrick
Alice Quayle dau-in-law 27 b Liverpool
Edward Clague visitor 12 scholar b IOM (no parish given)

So this is Ann Clague nee Quayle’s mother looking after her son-in-law’s illegitimate son.

Jean C