Thanks for your help, I got a lot of information now that I didn't know before. Besides the death certificate for Bridget Greenwood, I just got two death certificates for Thomas Greenwood and Henry Greenwood and two birth certificates for James Henry Greenwood and Hiram "Aaron" Greenwood.
These are all obviously correct, except I am not totally certain about the death certificate for Thomas Greenwood. The informant is Ann Greenwood and his job is given as Card Picker, he died age 56 of Cardiac Bronchitis Anasarca at 63 Long Millgate on 12th March 1873. This is obviously the same person as in the 1871 census but I am not a hundred percent certain it is the same person as my ancestor, and I still don't know who Ann Greenwood is and can't find a marriage record which would describe Thomas as a widower and give other indications that he is the same person.
Henry Greenwood died on 10th March 1847 at Henry Street, Manchester of Pneumonia disease of right ventricle and dropsy, age 53, Carder, informant Fanny Greenwood.
Hiram "Aaron" Greenwood's birth certificate was the most interesting. He is my great grandfather and I am especially interested in him. He was born 20th September 1846 at 10 Henry Street, Manchester, father Thomas Greenwood, Waste Dealer, mother Bridget Greenwood formerly Ward.
I find it interesting that Hiram was born in Henry Street in September 1846 and his grandfather Henry Greenwood died in Henry Street in March 1847. So it looks as though Hiram was born at his grandparents' house, maybe his grandmother assisting with the birth.