Many conflicting birthplaces, but 3 say Saratoga Co.
1855 New York state census, Jefferson County, population schedule, Hounsfield, ED 1, p. 9, dwelling 70, family 74, Elias Frink household; image, FamilySearch (https://www.familysearch.org/ark:/61903/3:1:33S7-LBLJ-8RZ : accessed 9 Nov 2020).
Both census records give a specific pace of birth for Daniel - 1855 census, and 1865.
Daniel Arnold Head Male 49 b. Saratoga County, NY, Farmer
Lydia Arnold Wife Female 47 b. Otsego Co., NY
Louisa Arnold Child 12 b. Jefferson Co., NY
James Arnold Child 9 b. Jefferson Co., NY
1855 New York state census, Jefferson County, population schedule, Hounsfield, ED 1, p. 9, dwelling 70, family 74, Elias Frink household; image, FamilySearch (https://www.familysearch.org/ark:/61903/3:1:33S7-LBLJ-8RZ : accessed 9 Nov 2020).
Years resided in this city or town: 8 (Hounsfield, Jefferson Co., NY). Farmer, owner of land