If the Archives prove disappointing I will have to make do with trying to locate the streets they lived in, even though I do not have definte street numbers. At various times they lived:
Gloucester St, St Helier
3 Belmont Cottage, Belmont St, St Helier
Belmont Place, St Helier
Meadow View, Beaumont, St Helier
Looking at Google maps, most of these streets (although quite long streets) still exist.
I may have a little more luck researching another member of the family: Charles William Herbert Connolly, who between 1900-1908 was a Church of England minister & lived at the Vicarage, St Martin, Jersey with his wife and 3 children.