Any chance this is them? Harriet and Daniel both born in New York (you have to look at the image). His parents Connecticut and Massachusetts, hers both in New York. Age is about right to be oldest child of James and Charlotte.
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MNCV-222 : 16 July 2017), Harriet Picket in household of Daniel Picket, Cuttings, Clackamas, Oregon, United States; citing enumeration district ED 14, sheet 162C, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 1080; FHL microfilm 1,255,080.
A more specific question, with more background info, will produce better answers.