The England and Wales Census for 1871 seems to have some answers here. Census was taken at Prescot, Lancashire.
Patrick Kavanagh 45y, born Leitrim, Ireland
Bridget " 43y, born Leitrim, Ireland
James " 23y, born Leitrim, Ireland
Mary " 19y, b. Prescot, Lancashire
Patrick " 13y b.Prescot, Lancashire
Ann " 10 b. Prescot, Lancashire
Peter Hector 40 b. Roscommon, Ireland (he is a visitor)