In the 1901 census (https://familysearch.org/ark:/61903/1:1:XSW8-NXS) Bessie gives her place of birth as Zeal Monachorum, Devon (which is a little south of Nymet Rowland as stated on her profile). That seems to make it likely that this is her in the 1881 census living with her parents, siblings and great-uncle in Nymet Rowland:
Name: Bessie Luxton
Event Type: Census
Event Date: 1881
Event Place: Nymet-Rowland, Devon, England
Registration District: Crediton
Gender: Female
Age: 9
Marital Status: Single
Occupation: Scholar
Relationship to Head of Household: Daughter
Birth Year (Estimated): 1872
Birthplace: Zeal Monachorum, Devon, England
Page Number: 3
Registration Number: RG11
Piece/Folio: 2228/96
Affiliate Record Type: Household
Household Role Sex Age Birthplace
William Luxton Head Male 37 Coldridge, Devon, England
Mary Luxton Wife Female 39 Spreyton, Devon, England
Bessie Luxton Daughter Female 9 Zeal Monachorum, Devon, England
Jessie Luxton Daughter Female 6 Nymett Rowland, Devon, England
Mary A Luxton Daughter Female 4 Nymett Rowland, Devon, England
John Luxton Son Male 3 Nymett Rowland, Devon, England
Lucy Luxton Daughter Female 0 Nymett Rowland, Devon, England
William White Uncle Male 74 South Tawton, Devon, England
Source: "England and Wales Census, 1881," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:Q27X-H6NF : 13 December 2017), Bessie Luxton in household of William Luxton, Nymet-Rowland, Devon, England; from "1881 England, Scotland and Wales Census," database and images, findmypast (http://www.findmypast.com : n.d.); citing p. 3, Piece/Folio 2228/96, The National Archives, Kew, Surrey; FHL microfilm 101,774,784.
Bessie's birth on https://www.gro.gov.uk/gro/content/certificates/indexes_search.asp seems to be this one, which shows her mother's maiden name was Powlesland:
LUXTON, BESSEY POWLESLAND
GRO Reference: 1872 M Quarter in CREDITON Volume 05B Page 442
Her parents William Luxton and Mary Powlesland married in 1865 - see "England and Wales Marriage Registration Index, 1837-2005," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:2DW3-NHH : 13 December 2014), William Luxton, 1865; from "England & Wales Marriages, 1837-2005," database, findmypast (http://www.findmypast.com : 2012); citing 1865, quarter 4, vol. 5B, p. 749, Crediton, Devon, England, General Register Office, Southport, England.
Edit: corrected William White's relationship to Bessie from uncle to great-uncle in 1881 census