Just a few ideas:
The only Haines in Cowbridge 1881
Dwelling: Church Street (Dynevor Cottage)
Census Place: Cowbridge, Glamorgan, Wales
Source: FHL Film 1342283 PRO Ref RG11 Piece 5329 Folio 8 Page 9
Marr Age Sex Birthplace
Anne S.J. SIMMOND W 79 F Warminster, Wiltshire, England
Rel: Head
Occ: Retired Teacher
Miriam CARRINGTON U 51 F Warminster, Wiltshire, England
Rel: Niece
Occ: Housekeeper
Fanny A. HAINES U 15 F Llandaff, Glamorgan, Wales
Rel: Serv
Occ: General Serv
Here are all the William Haines in the 1881 census living in Glamorgan:
HEINS, William FathL <1812> Birth: Bristol
Census: Glam Roath
HAINES, William Lodg <1814> Birth: Glou
Census: Glam Ystradyfodwg
HAINES, William Head <1829> Birth: Mynyddislwyn
Census: Glam Ystradyfodwg
HAYNES, William Head <1829> Birth: Worc Cropthorne
Census: Glam Swansea Town
HAYNES, William Head <1831> Birth: Glam Cardiff
Census: Glam Llandaff
HAINES, William H. Head <1835> Birth: Wilt Malmesbury
Census: Glam Llandaff
HAINES ?, William Lodg <1836> Birth: Radn
Census: Glam Gelligaer
HAYNES, William WifeBro <1840> Birth: Devo Barry County Village
Census: Glam Cardiff St John
HAYNES, William Head <1840> Birth: Here Veskevoy
Census: Glam Llansamlet Lower
HAYNES, William Lodg <1847> Birth: Worc Wolverley
Census: Glam Cardiff St Mary
HAYNES, William Head <1850> Birth: Bristol
Census: Glam Swansea Town
HAINES, William Head <1858> Birth: Glam Cardiff
Census: Glam Cardiff St John
HAINES, William Head <1859> Birth: Brec Vaynor
Census: Glam Merthyr Tydfil
HAINES, William Son <1862> Birth: Glam Llantrisant
Census: Glam Llantrisant
HAINES, William Son <1864> Birth: Bedwellty
Census: Glam Ystradyfodwg
HAINS, William Son <1866> Birth: Risca
Census: Glam Ystradyfodwg
HAINES, William Son <1869> Birth: Glam Cardiff
Census: Glam Cardiff St John
HAINS, William Neph <1870> Birth: Glam Gelligaer
Census: Glam Gelligaer
HAINES, Willie Son <1871> Birth: Newport
Census: Glam Cardiff St John
HAYNES, Wm.Henry GSon <1872> Birth: Glam Swansea
Census: Glam Penderry
HAYNES, William Son <1873> Birth: Glam Brynmenin
Census: Glam Ynysawdre
HAINES, William Son <1878> Birth: Cardiff
Census: Glam Llandaff
HAYNES, William Son <1879> Birth: Glam Llanwonno
Census: Glam Llanwonno
There is no match to a William Haines marrying a Cecilia. However there were 2 entries when leaving the wifes name blank. This one may be a possibility:
Surname First name(s) District Vol Page
Marriages Mar 1880
HAINES William Henry Cardiff 11a352
I also searched the 1881 UK census for all Cecilia’s born in Glamorgan & living in Cowbridge in 1881:
BRADLEY, Cecilia Dau <1821> Birth: Glam Cowbridge
Census: Glam Cowbridge
HOWELLS, Cecilia Serv <1863> Birth: Glam Llanblethian
Census: Glam Cowbridge
HOWELL, Cecilia Dau <1864> Birth: Glam Cowbridge
Census: Glam Cowbridge
Jen