I think that Maria in the 1861 possibly died in 1865
BAMRICK, MARIA 34
GRO Ref: 1865 Dec Quarter WEST DERBY AND TOXTETH PARK Volume 08B Page 349
Just wondered whether the 1861 and 1871 families that Capetown posted might be the same if the fathers first name was a error one of the census years?? In 1861 the surname looks like Brambric and is transcribed as this on F M P. Maria died in 1865 and I think the younger children in 1871 have the mothers maiden name O*Hara as below from a possible second marriage
BEMBRICK, ANNIE mmn OHARA
GRO Ref 1868 D Quarter WEST DERBY AND TOXTETH PARK Volume 08B Page 262
Kay
Added just came across this bapt for daughter Catherine who is shown on the 1871 census - lists his father as Patrick
Catharina Bambrick
Birth Date: 17 Oct 1863
Baptism Date: 27 Oct 1863 St Patrick, Liverpool
Father: Patritii Bambrick
Mother: Maria Neile
Death of Patrick??
BAIMBRICK, PATRICK 45
GRO Ref: 1880 D Quarter WEST DERBY AND TOXTETH PARK Volume 08B Page 276
Can't see the family in census years post 1871