William J J Corrin aged 1, b.Peel, is with the rest of the family in the 1871 census, at 28 Prospect Hill, Douglas.
Henry W Corrin 37 Confectioner, b.Castletown
Mary A Corrin 35 b.Peel
Christiana F Corrin 7 scholar b.Peel
Charlotte C Corrin 5 scholar b.Peel
John P Corrin 3 b. Peel
William J J Corrin 1 b.Peel
Sarah Clarke 17 Servant Domestic b.Patrick

The IGI has his Birth: 31 DEC 1869 Peel (extracted record - but doesn't say from where). It gives a batch number of C008296 which I don't recognise, and no LDS film number.

Sue