This looks like a promising HARRIS family

1841 Shirenewton
Thos Harris abt 1818 Monmouthshire, Wales Shire Newton, Monmouthshire
Mary Harris abt 1814 Monmouthshire, Wales Shire Newton, Monmouthshire

1851
William Harris 46
Elizabeth Harris 49
Francis Harris 1
George Harris 13
Jane Harris 16
John Harris 8
William Harris 5
Thomas Harris 34 Cousin

Name: Caroline Tamplin
Name: Thomas Harris
Year of Registration: 1851
Quarter of Registration: Jul-Aug-Sep
District: Chepstow
County: Gloucestershire, Monmouthshire
Volume: 26
Page: 55

1861
Thomas Harris abt 1816 Newchurch East, Monmouthshire, Wales Head Newchurch East, Monmouthshire
Carroline Harris abt 1824 Newchurch East, Monmouthshire, Wales Wife Newchurch East, Monmouthshire
Anne Harris abt 1857 Newchurch East, Monmouthshire, Wales Daughter Newchurch East, Monmouthshire
Eliza Harris abt 1860 Newchurch East, Monmouthshire, Wales Daughter Newchurch East, Monmouthshire
Mary Harris abt 1852 Newchurch East, Monmouthshire, Wales Daughter Newchurch East, Monmouthshire

1871
Thomas Harris 54
Caroline Harris 55
Ann Harris 14
Eliza Harris 12

1881
Thomas Harris abt 1817 Newchurch East, Monmouth, Wales Head East Newchurch, Monmouthshire
Caroline Harris abt 1825 Newchurch East, Monmouth, Wales Wife East Newchurch, Monmouthshire
Mary Harris abt 1853 Newchurch East, Monmouth, Wales Daughter East Newchurch, Monmouthshire