Hi Jim,
These are the only Jesse's I can find in Ancrum on the 1881 census. Hope one is the correct one..
Dwelling: Northside
Census Place: Ancrum, Roxburgh, Scotland
Source: FHL Film 0224039 GRO Ref Volume 780 EnumDist 1 Page 6
Marr Age Sex Birthplace
Jessie TURNBULL W 70 F Bedrule, Roxburgh, Scotland
Rel: Head
Margaret TURNBULL U 45 F Ancrum, Roxburgh, Scotland
Rel: Daur
James TURNBULL U 44 M Ancrum, Roxburgh, Scotland
Rel: Son
Occ: Carrier
Walter TURNBULL U 35 M Ancrum, Roxburgh, Scotland
Rel: Son
Occ: Carter
Dwelling: Woodhead Cottages
Census Place: Ancrum, Roxburgh, Scotland
Source: FHL Film 0224039 GRO Ref Volume 780 EnumDist 2 Page 11
Marr Age Sex Birthplace
Robert TURNBULL M 33 M Galashiels, Roxburgh, Scotland
Rel: Head
Occ: Ag Lab
Agnes TURNBULL M 41 F Ancrum, Roxburgh, Scotland
Rel: Wife
Euphemia TURNBULL 13 F Ancrum, Roxburgh, Scotland
Rel: Dau
Occ: Scholar
Jessie TURNBULL 11 F Edgerston, Roxburgh, Scotland
Rel: Dau
Occ: Scholar
Elizabeth TURNBULL 8 F Edgerston, Roxburgh, Scotland
Rel: Dau
Occ: Scholar
This is the only William in Ancrum near the date of birth given.
Dwelling: Causewayend
Census Place: Ancrum, Roxburgh, Scotland
Source: FHL Film 0224039 GRO Ref Volume 780 EnumDist 1 Page 12
Marr Age Sex Birthplace
Walter TURNBULL M 45 M Ancrum, Roxburgh, Scotland
Rel: Head
Occ: Mason
Elizabeth TURNBULL M 41 F Peebles, Peeble, Scotland
Rel: Wife
John TURNBULL U 19 M Ancrum, Roxburgh, Scotland
Rel: Son
Occ: Forester
William TURNBULL U 17 M Ancrum, Roxburgh, Scotland
Rel: Son
Occ: Tailor
Richard TURNBULL U 15 M Ancrum, Roxburgh, Scotland
Rel: Son
Occ: Ag Lab
Elizabeth TURNBULL 14 F Ancrum, Roxburgh, Scotland
Rel: Daur
James TURNBULL 12 M Ancrum, Roxburgh, Scotland
Rel: Son
Occ: Scholar
Isabella TURNBULL 10 F Ancrum, Roxburgh, Scotland
Rel: Daur
Occ: Scholar
George TURNBULL 8 M Ancrum, Roxburgh, Scotland
Rel: Son
Occ: Scholar
Maggie TURNBULL 6 F Ancrum, Roxburgh, Scotland
Rel: Daur
Occ: Scholar
Thomas TURNBULL 5 M Ancrum, Roxburgh, Scotland
Rel: Son
Occ: Scholar
Jane TURNBULL 3 F Ancrum, Roxburgh, Scotland
Rel: Daur
There are two other Williams born 1865 in Jedburgh and Yetholm
Hope something here may help. Frances