Wife reputed to be Annie Callahan Smerdon, 1854-1901. No children.
Sources
"United States Census, 1850," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:M6D3-TRY : 20 December 2020), Wm Tryon in household of Samuel Tryon, Hartford, Hartford, Connecticut, United States; citing family , NARA microfilm publication (Washington, D.C.: National Archives and Records Administration, n.d.).
"United States Census, 1900," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:M973-N8K : accessed 28 January 2021), William Tryon, United States; citing enumeration district (ED) 323, sheet 8A, family 182, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,240,143.
Find a Grave, database and images (https://www.findagrave.com : accessed 27 January 2021), memorial page for William Tryon (unknown–18 Jul 1904), Find A Grave: Memorial #46072159, citing Veterans Cemetery, Darien, Fairfield County, Connecticut, USA ; Maintained by a2 (contributor 46812011).
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DNA Connections
It may be possible to confirm family relationships with William by comparing test results with other carriers of his ancestors' Y-chromosome or mitochondrial DNA.
Y-chromosome DNA test-takers in his direct paternal line on WikiTree: