Hi
I have quite a few marriages in Birmingham of people resident in Warwickshire and Worcestershire or perhaps were working in Birmingham for a period of time between the records I have on them. Since you by tradition married in the woman's parish that may also be a reason for a Birmingham marriage.
Some of the Henry Baker marriages in Birmingham/Aston (census night 1851 was 30th March) are on the IGI, plus the Henry William marriage.
HENRY BAKER
MARTHA WARMINGHAM
Marriage: 04 APR 1853 Saint Jude, Birmingham, Warwick
Martha born circa 1836 in Birmingham
HENRY BAKER
ELIZABETH RYAN
Marriage: 23 MAR 1857 Saint Jude, Birmingham, Warwick
HENRY BAKER
CLARA BEEBEE
Marriage: 17 JUN 1860 Aston Juxta Birmingham, Warwick
Clara born circa 1843 in Walsall (seems a Clara of the right age marriaed to a Henry on the 1861 census)
HENRY WILLIAM BAKER
ANN WAGSTAFF
Marriage: 22 JAN 1855 Saint Phillips, Birmingham, Warwick
Not on the IGI
Marriages Jun 1851
Baker Henry Birmingham 16 407
Barnes Hannah Birmingham 16 407
Miles Esther Birmingham 16 407
Watts Mary Ann Birmingham 16 407
Marriages Mar 1854
Baker Henry Birmingham 6d 186
Bolton Sarah Birmingham 6d 186
Merry Margaret Birmingham 6d 186
There are also the Warwick, Stratford and Hinckley possibilities.
Still alot of possibilities there.
Regards
Valda