Don't know if this helps but this could be Andrew and Bridget in 1851 at Landore Court, 14, Saint Mary, Cardiff, Glamorganshire [Ref HO107, Piece number 2455, Folio 515, Page 61]
Note the Coakleys with them.... including Mary aged 50, widow (could this be Bridget's mother?).
Andrew Pool Head Married Male 35 1816 Labourer Cork, Cork, Ireland
Briget Pool Wife Married Female 30 1821 - Cork, Cork, Ireland
Catherine Pool Daughter - Female 10 1841 - Cardiff, Glamorgan, Wales
John Pool Son - Male 4 1847 At Home Cardiff, Glamorgan, Wales
Thomas Pool Son - Male 1 1850 At Home Cardiff, Glamorgan, Wales
John Coakley Visitor Married Male 25 1826 Labourer Cork, Cork, Ireland
Catherine Coakley Wife Married Female 20 1831 - Tenby, Pembrokeshire, Wales
Margaret Bryant Visitor Widow Female 50 1801 At Home Cork, Cork, Ireland
John Coakley Visitor Unmarried Male 26 1825 Labourer Cork, Cork, Ireland
Timothy Coakley Visitor Unmarried Male 20 1831 Labourer Cork, Cork, Ireland
Mary Coakley Visitor Unmarried Female 18 1833 At Home Cork, Cork, Ireland
Thomas Coakley Visitor - Male 14 1837 Labourer Cork, Cork, Ireland
Mary Coakley Visitor Widow Female 50 1801 At Home Cork, Cork, Ireland
Catherine Coakley Visitor - Female 17 1834 At Home Cork, Cork, Ireland