The following area the earliest information I have of Bradshaws in Manchester. If any one has any links please let me know.
JOHN BRADSHAW (father PETER) was born 1816 in Salford. He married HANNAH SINGLETON 03 Apr 1838 in Church of St. John, Manchester, daughter of NATHAN SINGLETON. She was born 1818.

Children of JOHN BRADSHAW and HANNAH SINGLETON are:
i. JOSEPH3 BRADSHAW, b. 1835.
ii. MARY BRADSHAW, b. 1838.
iii. EMMA BRADSHAW, b. 1840.
iv. WILLIAM BRADSHAW, b. 09 Jan 1842, Blakeley Street, St. George, Manchester.
v. MARTHA ANN BRADSHAW, b. 1845.
vi. JANE BRADSHAW, b. 1846.
vii. SARAH HANNAH BRADSHAW, b. 1847.
viii. MARY BRADSHAW, b. 1848.
ix. SARAH BRADSHAW, b. 1848.
x. JOSEPH BRADSHAW, b. 1851.
xi. JOHN BRADSHAW, b. 1852.

2. WILLIAM3 BRADSHAW (JOHN2, PETER1) was born 09 Jan 1842 in Blakeley Street, St. George, Manchester. He married THERESA COOPER. She was born 1837 in Manchester.
i. MARSHALL4 BRADSHAW, b. 1864, Hulme,Manchester.
ii. HENRY WILLIAM BRADSHAW, b. 1868, Hulme, Manchester.
3. iii. THOMAS BRADSHAW, b. 29 Mar 1870, 14 Cheetam Street,Deansgate,Manchester.
4. iv. ALFRED BRADSHAW, b. 1874, Over,Northwich Cheshire.
v. WALTER BRADSHAW, b. 1872, Over,Northwich Cheshire.
Regards,
Matt Hunt