The Wright family are being quite tricky to pin down but interesting.
However, I think Frederick Wright was born in Burton on Trent or more likely somewhere in Derbyshire near by. His birth was registered Mar qtr 1891 Burton on Trent. In 1891 his birthplace is Derbyshire, in 1901 it's Burton on Trent, Derbyshire and in 1911 it's Burton on Trent, Staffordshire. He was one of at least 11 including a sister, Susanna Jane (likely witness above).
He seems to be the son of Stanley Wright and Mary Anne Harper. Stanley marries Mary 15 Apr 1883. Then he is listed as John Stanley though his birth was registered as Stanley Reynolds Wright Jun qtr 1861 Leiwsham. Stanley's birthplace is listed a Plumsted in 1871 & 1901, Woolwich in 1881 and Warwickshire in 1891. He dies between 1901 and 1911. He is a house painter. Mary's birthplace is listed as Dudley. In 1901 the family are living in Highbury Road, Kings Norton (Kings Heath now?).
Stanley's father appears to be a John Wright and his mother's surname is Brown but she is dead by 1871 so not sure who she was. John possibly has a middle name but only the initial is listed, c or g. John re-marries before 1881. John's birthplace is listed as Kidderminster but his dob varies. He is listed as a photographer in 1871 & 1891 and a house decorator in 1881. Apart from Stanley, he had a daughter Mary Agnes and a son George with his first wife.