The IGI on FamilySearch.org has an extracted entry (from the parish register) for William Alfred Kermode Birth: 02 MAY 1881, Douglas, Isle Of Man. Father: William James Kermode. Mother: Sophia Kate Callon Kermode.

There are also:
Annie Isabel Kermode Birth: 05 OCT 1879 Douglas, Isle Of Man. Father: William James Kermode, Mother: Sophia Kate Callow Kermode.

Charles Henry Kermode Birth: 17 JUL 1883 Douglas, Isle Of Man. Father: William James Kermode, Mother: Sophia Kate Callow Kermode.

The 1881 census (also online under the FamilySearch.org) has:
William J. KERMODE Head M Male 33 Lonan, Isle of Man, England Grocer & Tobacco Manufacturer Employing 8 Men & 7 Boys
Sophia K. KERMODE Wife M Female 26 Ramsey, Isle of Man, England
Annie I. KERMODE Daur Female 1 Douglas, Isle of Man, England
Margaret CHRISTIAN Serv U Female 17 Peel, Isle of Man, England General Serv
Source Information:
Dwelling 8 West View Ter
Census Place Onchan, Isle of Man, Isle of Man
Family History Library Film 1342347
Public Records Office Reference RG11
Piece / Folio 5605 / 31
Page Number 12

This was taken in April, just before William Alfred was born.

Sue