I do not believe that Alfred married Sarah C - they are on the same page
I strongly suspect that Alfred marries Elizabeth Finney.

Name: Elizabeth Finney( same page as Sarah Cowley)
Name: Alfred Bryant
Year of Registration: 1866
Quarter of Registration: Jan-Feb-Mar
District: Sheffield
County: South Yorkshire, Yorkshire - West Riding
Volume: 9c
Page: 416

leaving this as the other couple

Name: Sarah Cowley
Name: William Parker
Year of Registration: 1866
Quarter of Registration: Jan-Feb-Mar
District: Sheffield
County: South Yorkshire, Yorkshire - West Riding
Volume: 9c
Page: 416

and a long shot to this as the COWLEY unit with Sarah

1861
Joab Cowley abt 1804 Masbrough, Derbyshire, England Head Nether Hallam, Yorkshire
Ann H Cowley abt 1805 Sheffield, Yorkshire, England Wife Nether Hallam, Yorkshire
Fredrick Cowley abt 1841 Sheffield, Yorkshire, England Son Nether Hallam, Yorkshire
Lousia Cowley abt 1843 Sheffield, Yorkshire, England Daughter Nether Hallam, Yorkshire
James Cowley abt 1845 Sheffield, Yorkshire, England Son Nether Hallam, Yorkshire
Sarah J Cowley abt 1848 Sheffield, Yorkshire, England Daughter Nether Hallam, Yorkshire