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1939 has them as Tillery on Anc

Cath has it right for wife's name

Cas

1851- looks likely same family as your 1841, possible remarriage of father after 1841 or name change of mother?

Census transcript info written as seen, including placename spelling errors.

William Waters   Head   Male   63   Lanveangel, Monmouthshire
Jane Waters   Wife   Female   41   Langwm Ucha, Monmouthshire
Frances Waters   Son   Male   15   Langwm Ucha, Monmouthshire
Ann Waters   Daughter   Female   13   Langwm Ucha, Monmouthshire
Mary Waters   Daughter   Female   10   Langwm Ucha, Monmouthshire
Amelia Waters   Daughter   Female   6   Langwm Ucha, Monmouthshire
Abraham Waters   Son   Male   2   Langwm Ucha, Monmouthshire

WATTERS, ABRAHAM   Mmn    HARRY 
GRO Reference: 1849  M Quarter in OF CHEPSTOW  Volume 26  Page 75

1861 - above family have additional son Thomas born 1853 Mmn Harry, Francis not with his father.

William Waters   Head   M   72   Llanishen, Monmouthshire
Jane Waters   Wife   F   51   Llangwm Uchaf, Monmouthshire
Abraham Waters   Son   M   12   Llangwm Uchaf, Monmouthshire
Thomas Waters   Son   M   8   Llangwm Uchaf, Monmouthshire

WALTERS, THOMAS    Mmn   HARRY 
GRO Reference: 1853  M Quarter in CHEPSTOW  Volume 11A  Page 2

1881-  Francis & family is in Wind Street under Waters not Walters.

Francis Waters   Head   Male   42  Monmouthshire
Gwenllian Waters   Wife   Female   35   Cardiff, Glamorganshire
William Waters   Son   Male   14   Llanwonno, Glamorganshire
Edmund Waters   Son   Male   7   Llanwonno, Glamorganshire
Griffith Waters   Son   Male   4   Llanwonno, Glamorganshire
Alendar Davies   Lodger   Male   26    Monmouthshire
Arthur Jones   Boarder   Male   21   Monmouthshire

* Wonders if the surname is or was originally Waters or varients

Cas

Think this is the 1841 for Sarah, address Rowley, Cam, Glos

Piece: 347, Book:12, Folio:   6, Page: 6

All born in county

Ann Harwood   70
John Harwood   40
John Harwood   15
Sarah Smith   30
Stephen Smith   1 - could this be Walter?

The first 3 sons in 1851 census - Walter, Stephen & Charles, were baptised together in 1848 with same address 'Rowley', parents Stephen & Sarah Hadley.

So looks likely Noah died or they separated pre 1841?

Cas

I will say I am still new to DNA matching and also not very techno savvy.

What I would like to see included, and don't know how difficult it would be for Ancestry to implement, is an icon or similar attached to individual profiles of those that have had, or have not, had DNA testing done.

This would cut out the match guesswork of those researching same family names - Have or have they not been tested?  Profiles include if there is a DNA match, but if there is not they don't say if a test has been taken.

At the moment it is just the standard xxx is not a match or has not yet taken a DNA test.  If there was an icon or similar you would know a test had or had not been done.  It could be as simple as a circle which is either coloured or not...

Or just state if a DNA test has or has not been done.

Hope that makes sense...

Cas

1871 England Census with Thomas & Mary Haley & family

Civil Parish:   St Mary Stratford le Bow
Ecclesiastical parish:   St Stephen
Town:   Bow,   London

Class: RG10; Piece: 578; Folio: 56; Page: 48

All b Bethnal Green
William Ward   36
Maria Ward   38
Thomas Ward   14
Louisa Ward   12
George Ward   7
Alfred Ward   5
Henry Ward   2

William Ward Jnr was registered Dec Q 1850, but unable to find a 1851 match to family.
WARD, WILLIAM  JAMES  Mmn    ROGERS 
GRO Reference: 1850  D Quarter in BETHNAL GREEN  Volume 02  Page 9

Cas