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I am searching for decendants of Eliza Day born 1853 in Lincolnshire. The 1911 census finds her living at 16 Church Street, Ilkley, West Yorkshire and running a sweet business at the premises, now The Prince Albert Pub. Also living there was her daughter Lily and husband William Weedon, two sons William and Arthur I have brought the search forward to her Gt.Gt.Grandson Anthony Towers born 1959.

Have you looked to see if anyone on here has any of these people in their trees?

Added:
2 people seem to have Anthony, 1959.

Not sure what you're actually asking.

Which line is Anthony Towers from?

If you found his line, you should be able to find the lines of the other offspring.

For clarity

1911 England Census

Name: Eliza Day
Age in 1911: 58
Estimated Birth Year: abt 1853
Relation to Head: Head
Gender: Female
Birth Place: Scotterthorpe, Lincolnshire, England
Civil parish: Ilkley
County/Island: Yorkshire-West Riding
Country: England
Street Address: 16 Church Street Ilkley
Marital Status: Widowed
Occupation: Shop Keeper
Registration district: Wharfedale
Registration District Number: 491
Sub-registration district: Ilkley
ED, institution, or vessel: 3
Piece: 26019
Household Members:
Name Age
Eliza Day 58
Lily Weedon 33
William Weedon 33
William Edward Weedon 2
Arthur Weedon 4/12
Julia Blough 55

1891 England Census

Name: Lily Day
Age: 13
Estimated Birth Year: abt 1878
Relation: Housekeeper's Daughter
Gender: Female
Where born: Idle, Yorkshire, England
Civil parish: Ilkley
Ecclesiastical parish: Ilkley
Town: Ilkley
County/Island: Yorkshire
Country: England

Registration district: Wharefdale
Sub-registration district: Otley
ED, institution, or vessel: 7
Neighbors: View others on page
Piece: 3527
Folio: 89
Page Number: 23
Household Members:
Name Age
George Blakey 65
Elora Day 37
Lily Day 13

As far as can be deduced, Lily was her only child so you've got Eliza's descendants

One would hope that was the case, as Eliza was unmarried

?????????

Eliza Day
England and Wales Census, 1881
birth: 1854 Sootter,? Lincolnshire,? England
census: 1881 Bradford,? Yorkshire (West Riding),? England


name: Eliza Day
age: 27
gender: Female
birth year: 1854
birthplace: Sootter, Lincolnshire, England
relationship to head of household: Servant
marital condition: Single
profession/occupation: Cook Domestic
address: 59 North Parade
census place: Bradford, Yorkshire (West Riding), England
record type: Household
family history library film: 1342064
the national archives reference: RG11
piece/folio: 4451 / 72
page number: 4

Eliza Day
England and Wales Census, 1861
birth: 1854 Scotter,? Lincolnshire
census: 1861 Scotter,? Lincolnshire,? England


name: Eliza Day
event: Census
event date: 1861
gender: Female
age: 7
relationship to head of household: Daughter
birthplace: Scotter, Lincolnshire
record type: Household
registration district: Gainsborough
sub-district: 2 Scotter
civil parish: Scotter
county: Lincolnshire

1881 England Census

Name: Eliza Day
Age: 27
Estimated Birth Year: abt 1854
Relation: Servant
Gender: Female
Where born: Sootter, Lincoln, England
Civil parish: Bradford
County/Island: Yorkshire
Country: England
Street Address: 59 North Parade

Occupation: Cook Domestic
Registration district: Bradford
Sub-registration district: Bradford, West End
ED, institution, or vessel: 5
Neighbors: View others on page
Piece: 4451
Folio: 72
Page Number: 4
Household Members:
Name Age
George Blakey 55
Susan Blakey 52
Eliza Day 27
Lilly Day 3

Eliza Day
England and Wales Census, 1911
birth: Scotterthorpe,? Lincolnshire
census: 1911 Ilkley,? Ilkley,? Yorkshire (West Riding),? England


name: Eliza Day
event: Census
event date: 1911
gender: Female
age: 58
birthplace: Scotterthorpe, Lincolnshire
record type: Household
registration district: Wharfedale
sub-district: Ilkley
parish: Ilkley
county: Yorkshire (West Riding)

England & Wales, Death Index: 1916-2006

Name: William Edward Weedon
Birth Date: 11 Feb 1909
Date of Registration: Oct 1987
Age at Death: 78
Registration district: Keighley
Inferred County: Yorkshire
Volume: 4
Page: 705

This is almost certainly Arthur.....with a year knocked off his age

England & Wales, Death Index: 1916-2006

Name: Arthur Weedon
Birth Date: 21 Nov 1911
Date of Registration: Oct-Nov-Dec 1972
Age at Death: 61
Registration district: Wharfedale
Inferred County: Yorkshire West Riding
Volume: 2d
Page: 1922

Lily Day
England and Wales Census, 1901
birth: 1878 Idle,? Yorkshire
census: 31 Mar 1901 Ilkley,? Yorkshire (West Riding),? England


name: Lily Day
event: Census
event date: 31 Mar 1901
gender: Female
age: 23
relationship to head of household: Servant
birthplace: Idle, Yorkshire
record type: Household
registration district: Wharfedale
sub-district: Ilkley
ecclesiastical parish: Ilkley St Margarets
civil parish: Ilkley
county: Yorkshire (West Riding)

poster has another thread running in tandem with this one

http://www.genesreunited.co.uk/boards/board/living_relatives/thread/1313940?jump=1313940

And no sign of the word 'please' on any of the threads.............

http://www.genesreunited.co.uk/boards/board/ancestors/thread/1313938

England & Wales, Death Index: 1916-2006

Name: Lily Weedon
Birth Date: abt 1878
Date of Registration: Oct-Nov-Dec 1931
Age at Death: 53
Registration district: Wharfedale
Inferred County: Yorkshire West Riding
Volume: 9a
Page: 178