Since your posting is 6 years old, this is probably all known to you, if relevant. However:
Clara Wrigley, b. June 1878 quarter, d. Sep 1925 quarter, m. Frederick Hamer June 1899 quarter.
In 1881 to 1911 censuses at various addresses in Bury, in each says b. Bury. She had 4 older sisters and one younger brother. Father was
James, b. 1844, d. Mar 1914 quarter, m. Cecilia, who seems to be Dawson, if so in Sep 1866 quarter in Manchester. In censuses from 1851-1911, beginning in Tonge, later in Bury, in 1851 transcribed as Wildey, b. Tonge in 1851-71, thereafter b. Middleton. They are living apart in last two censuses. He had three older sisters. His father
William, b. c1817 in Tonge, m. Martha possibly Massey on 2 June 1838 in Manchester Cathedral or Smethurst also in the cathedral on 20 Aug 1837. In censuses 1841-61, living in March Row, Tonge; again Wildey in transcript for 1851.
This is all I have managed, uncertain as some of it is. Perhaps these are the ones you are looking for.