In the 1911 census (https://familysearch.org/ark:/61903/1:1:X7T3-82H) Blanche is shown living with her uncle John Joseph Wright and his family. Also in the household is her grandmother Charlotte Wright.
That makes it seem very likely that this is Lillia Wright in the 1891 census, with her brother John J. Wright and her mother Charlotte, and also her father William:
Household Role Sex Age Birthplace
William Wright Head Male 40 Norfolk, England
Charlotte Wright Wife Female 38 Co Durham
John J Wright Son Male 16 Co Durham
Lillia Wright Daughter Female 6 Co Durham
Source: "England and Wales Census, 1891," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:WJF4-X2M : 7 May 2019), Lillia Wright in household of William Wright, Hartlepool, Durham, England, United Kingdom; from "1891 England, Scotland and Wales census," database and images, findmypast (http://www.findmypast.com : n.d.); citing PRO RG 12, Durham county, subdistrict, The National Archives of the UK, Kew, Surrey.