Have you tried the free search tool at: https://familysearch.org/search. Examples below. In 1920, Clara is living with Mitchell cousins Charles and Florence.
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U S Census, 1910 Rochester Ward 11, Monroe, NY
Citing this Record: "United States Census, 1910," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/M5MJ-H74), Clara E Sly in household of Charles B Mitchell, Rochester Ward 11, Monroe, New York, United States; citing enumeration district (ED) 112, sheet 9B, family 190, NARA microfilm publication T624 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,375,004.
Charles B Mitchell Head M 22 England
Rosetta Mitchell Wife F 21 England
Rosetta F Mitchell Dau F 0 New York
Florence B Mitchell Sister F 20 England
George H Sly Cousin M 28 England
Clara E Sly Cousin F 30 England
George H Sly Cousin M 3 England
Clara Edith and George Sly: Census data with their children see:
US Census, 1880 Perinton, Monroe, NY
Citing this Record: "United States Census, 1880," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MZDX-PCG), Robert Birch, Perinton, Monroe, New York, United States; citing enumeration district 60, sheet 379C, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 0862; FHL microfilm 1,254,862.
Robert Birch Self M 42 England
Margaret A Birch Wife F 35 Ireland
Robert H Birch Son M 9 NY
Rosetta Birch Dau F 8 NY
Sarah J Birch Dau F 6 NY
Winfield S Birch Son M 2 NY
Helleann Birch Dau F 4 NY
David Birch Son M 0 NY
John W Birch Son M 14 NY
Anna Obion Other F 21 NY