survivior of his mother Margaret per her 1907 OBIT “Edward Williams of Wales”

1861UKC David Williams and family; Wales> Glamorgan > Llantwit Fardre > District [16]; image 31 of 37 @ancestry.com; Source information: RG9/4044; Registration district: Cardiff; Sub-registration district: Llantrisaint; ED, institution, or vessel: [16]; Folio: 60; Page: 31; Household schedule number: 142; GSU Number: 543226
David Williams, HOH, b.1825 in Aberdare, Glamorgan, Wales
Margaret Williams, Wife, b.1829 in Aberdare, Glamorgan, Wales
Mary Ann Williams, Daughter, b.1848 in Aberdare, Glamorgan, Wales
Evan Williams, Son, b.1854 in Eglurisilan, Glamorgan, Wales
Elizabeth Williams, Daughter, b.1856 in Eglurisilan, Glamorgan, Wales
John Williams, Son, b.1858 in Eglurisilan, Glamorgan, Wales
Edward Williams, Son, b.1861 in Llantwitvardre, Glamorgan, Wales

1871UKC David Williams & Family, 2 Pages; Wales Census > Glamorgan > Llantwit Fardre > District 10, image 16-17 of 27 @ancestry.com; Source information: RG10/5382; Registration district: Pontypridd; Sub-registration district: Llantrisant; ED, institution, or vessel: 10; Folio: 33; Page: 17 ; Household schedule number: 85
David Williams HOH, b.1825 in Aberdare, Glamorgan, Wales
Margerat Williams, Wife, b.1828 in Aberdare, Glamorgan, Wales
Richard Williams, Son, b.1849 in Llantwit F, Glamorgan, Wales
Elizabeth Williams, Daughter, b.1856 in Eglwysilan, Glamorgan, Wales
John Williams, Son, b.1857 in Eglwysilan, Glamorgan, Wales
Edward Williams, Son, b.1861 in Llantwit F, Glamorgan, Wales
Theria Jane Williams, Daughter, b.1863 in Llantwit F, Glamorgan, Wales
Gwen Williams, Daughter, b.1865 in Llantwit F, Glamorgan, Wales
Fanny Williams, Daughter, b.1867 in Llantwit F, Glamorgan, Wales
Lucy Williams, Daughter, b.1869 in Llantwit F, Glamorgan, Wales

1881UKC David Williams & Family, 2 Pages; Wales Census > Monmouthshire > Mynyddyslwyn > District 6; image 19 of 45 @ancestry.com; Source Information: Census Place Mynyddyslwyn, Monmouth, Wales; Family History Library Film: 1342268; Public Records Office Reference: RG11; Piece / Folio: 5273 / 30; Page Number 19
David WILLIAMS   Head   M   Male   57   Aberdare, Glamorgan, Wales   Accountant    
Margret WILLIAMS   Wife   M   Female   54   Aberdare, Glamorgan, Wales   Accountant Wife  Evan WILLIAMS   Son   U   Male   27   Eglwysilan, Glamorgan, Wales   Coal Miner    
John WILLIAMS   Son   U   Male   24   Eglwysilan, Glamorgan, Wales   Coal Miner    
Edmund WILLIAMS   Son   U   Male   20   Llantwit Fardre, Glamorgan, Wales   Coal Miner 
Fanny P. WILLIAMS   Dau   U   Female   14   Llantwit Fardre, Glamorgan, Wales   Scholar  Lucy WILLIAMS   Dau   U   Female   12   Llantrisant, Glamorgan, Wales   Scholar    
Agnes HUGHES   G Dau   U   Female   2   Llantwit Fardre, Glamorgan, Wales 

1891UKC Wales Census; Glamorgan Ystradyfodwg District 43; image 39 of 44 @ancestry
Source Citation: Class: RG12; Piece: 4430; Folio: 77; Page: 38; GSU roll: 6099540
Original data: Census Returns of England and Wales, 1891. Kew, Surrey, England: The National Archives of the UK (TNA): Public Record Office (PRO), 1891.
Civil Parish: Ystradyfodwg
Ecclesiastical parish: Tylorstown with Ferndale
Town: Home Penrhys
County/Island: Glamorgan, Wales
Registration district: Pontypridd
Sub registration district: Ystradyfodwg
ED, institution, or vessel: 43
Piece: 4430; Folio: 77; Page Number: 38
Household Members:
Lewis Hughes 45 engine driver
Mary A Hughes 42
Lodwig Hughes 17
Mewrig Hughes 15
Eliz Gw Hughes 10
David L Hughes 10/12 b Ystradyfodwg
Mary Davies 14 servant
Edward Williams 30 M boarder coal miner Brother!

OBIT MargaretWilliams1907
The Scranton Republican (Scranton, Pennsylvania)
12 Feb 1907, Tue
Page 10
Mrs Margaret Williams for more than 15 years a resident of Olyphant, died Sunday morning at the home of her daughter Mrs Jacob Jenkins of Delaware street, after a lingering illness. Deceased was a member of the Calvinistic Methodist church and esteemed by a large circle of friends for her charitable disposition. She is survived by the following sons and daughters:
Mrs John Steed and Mrs Jacob Jenkins of this place;
Mrs GF Williams of Michigan;
Mrs Davis Francis of Illinois;
Mrs T Cadman and Mrs L Jenkins of Wales;
Richard and John Willimas of Washington DC;
and Edward Willimas od Wales.
The funeral will be held tomorrow afternoon. Internment will be made in Union Cemetary.