Hello All - a bit of an uodate for anyone interested enough to hear the latest

To cut a long story short, this Christmas my mother finally tracked down one of her few remaining family members, a cousin whom she hadn't spoken with in over 30 years. He has been able to conform that yes, a male child was born to Dorothy and Harold Frnakland in St Luke's Hospital, Bradford, in October 1840, but sadly he was stillborn. Somebody here mentioned a stillbirth register, and my mother is now very interested in trying to have a search made to try and find out more - can anyone advise where we should call or write to for further information on this register?
As an aside, it turns out this cousin also has several pieces of interesting family information that we didn't know still existed, including my great-grandfather's marriage certificate, his discharge papers from the army and even some photos of him in his uniform!