Find A Grave, database and images (https://www.findagrave.com : accessed 31 December 2018), memorial page for Patrick Walsworth (1819–27 Feb 1854), Find A Grave Memorial no. 79949495, citing Thompson Cemetery, Adams, Jefferson County, New York, USA ; Maintained by noelle nann fairbanks (contributor 46830790) .
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The source stated does not mention Socrates or Patrick as sons of this family. This family is covered at this link in that source. https://archive.org/details/walworthsofameri00walw/page/62/mode/2up
I found a Socrates and Patrick in the same family with dates and spouses that match the Find a Grave pages. Their parents in the Walworth book, mentioned above, are Elijah Walworth and Abigail Smith. https://archive.org/details/walworthsofameri00walw/page/76/mode/2up?q=hubbard
Find a Grave for Socrates and Patrick is incorrect and corrections have been submitted. https://www.findagrave.com/memorial/79949495/patrick-walsworth has the wrong parents also
https://www.findagrave.com/memorial/89283151/andrew-patrick-walsworth has the correct parent Elijah mentioned. Hopefully, the 2 pages will be merged correctly, since they are in the same cemetery.
The other Walworth Genealogy book has the family of Elijah Walworth at https://babel.hathitrust.org/cgi/pt?id=wu.89062494984&view=page&seq=103&q1=Hubbard
Spouse for both Socrates and Patrick, sons of Elijah, match the Find a Grave pages
Socrates is 1st born, #783 - https://babel.hathitrust.org/cgi/pt?id=wu.89062494984&view=page&seq=200&q1=Hubbard
Patrick / Andrew Patrick, is 4th child, #786, with the name matching the other Find a Grave page - https://babel.hathitrust.org/cgi/pt?id=wu.89062494984&view=page&seq=201&q1=Hubbard