Hi Vanessa,
FreeBMD gives 100% coverage for births in this time frame.
I can see only 2 Olive Hildas registered in the June quarter 1906 in Middlesex, none of which in Hackney.
Olive Hilda R Bradstreet June quarter 1906 Islington
Olive Hilda W Wood June quarter 1906 Bethnal Green.
I can't find any Stanley Bradstreet registered 1895-1905 in Middlesex. I also like the Olive Wood because of her 3rd 'W' initial. Problem being: There are plenty of Woods registered with the other forenames you mention. so not sure this is really very helpful.
I don't suppose the marriage witnesses give any clues? I see you know the names of her siblings. Would it be possible to try and trace them somehow, in case you knew who they married etc?
Tanja
