This is a long shot, but the names seem to match, and maybe Olive was named after her great grandmother?????
United States Census, 1910, database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MG7V-ZZP), Lula M Wood in household of William Wood, Franklin, Susquehanna, Pennsylvania, United States; citing enumeration district (ED) ED 67, sheet 16B, NARA microfilm publication T624 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,375,434.
1910 Franklin, Susquehanna, PA
William Wood Head M 44 PA
Mary J Wood Wife F 31 NY
Lula M Wood Dau F 12 PA
Eugene W Wood Son M 18 PA
Olive N Wood Mother F 69 PA
George A Wood Brother M 38 PA
United States Census, 1910, database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MG7V-ZZL), William Wood, Franklin, Susquehanna, Pennsylvania, United States; citing enumeration district (ED) ED 67, sheet 16B, NARA microfilm publication T624 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,375,434
1900 Silver Lake Township, Susquehanna, PA
Samuel Wood Head M 59 NY
Olive H Wood Wife F 59 PA
William H Wood Son M 34 PA
Mary J Wood Dau F 20 NY
Eugene Wood Grandson M 8 PA
Lulu Wood Granddau F 3 PA
1870 Census William H in household of Sam & Olive
https://familysearch.org/ark:/61903/1:1:MZ26-YWF
April 1865 birth William Henry Wood Susquehanna, PA https://familysearch.org/ark:/61903/1:1:V2NV-RY7