Richard Cardiff married Catherine Rossiter in 1865 Wexford Registration District
Volume 19 Page 523
Found following children
William Cardiff
Birth: 13-Feb-1870 Wexford
Parents: Richard Cardiff and Catherine Rossiter
Thomas Cardiff
Birth: 13-Mar-1872 Wexford
Parents: Richard Cardiff and Catherine Rossiter
Johanna Bridget Cardiff
Birth: 12-Aug-1879 Tacuenehane, Wexford
Parents: Richard Cardiff and Catherine Ropitet Cardiff
Lawerence Cardiff
Birth: 16-Jan-1868
Parents: Richard Cardiff and Catherine Rossiter
Probably your Richard was born in 1874
Richard Cardiff Birth Wexford Registration District Volume 19 Page 891
This appears to be Richard Senior in 1911 Census as if you click on Household Return (Form A) you can see original page. The Thomas Cardiff is an agricultural labourer so would fit the criteria.
http://www.census.nationalarchives.ie/pages/1911/Wexford/Tacumshin/Tacumshin/693990/For some reason Richard is down as married in Census but i cant find his wife anywhere in Ireland anyway.
In Griffiths Valuation there is three Cardiff's in the area one of these is most likely Richard Senior father. The marriage certificate would confirm probably.
Griffiths was not a census but a survey of those head of households that held/rented land/property.
Griffith's Valuation Co.Wexford 1853Surname Forename Townland Parish County Cardiff Laurence Furziestown Tacumshin Wexford
Cardiff Michael Sigginstown Tacumshin Wexford
Cardiff Stephen Tacumshin Tacumshin Wexford
Ger