Neither Lawson's BMD Micro site(Registered births) on Dusty Docs or LDS IGI have a William born to Jane Kermeen.
B & D registration started on the IOM in 1878 (M 1884), but their first child Jessie ch Jan 6, 1878 (Died 1881) is not on the registered list, but on IGI.
William Henry is shown as a Tailor on their MC , Elizabeth Jane Leah's Ch Braddan Feb 8 1880 and on the 1891 census.
Unfortunately the hand written christening of William Edward is not shown online like Elizabeth, to check the mother's name. Three more children born after 1891 , Lilly Agnes, Janie Isabella and Jasper. Strange that no male were named John when it was the Father of both William Henry and Jane.
A user submitted tree on the IGI indicated William Edward died in Maughold in 1912, is that correct ?