According to Brian Lawson's records, a William Henry Coe was born on the 21st June 1900 at Douglas, reg ref 1511, to William Henry Coe and Ella Jane Sayle(dec'd) by the time of registration. Ella Jane Coe, again from Brian Lawsons site, was buried at Braddan on 30.6.1900 aged 25 years. I know the first name is different, but Coe is a very uncommon name on the Island so this may be who you're looking for.