It’s an interesting hole in the primary sources, isn’t it. These are some thoughts.
1. Since he died 1909 & his wife in Delia Fluvia Shaw they will be referenced as parents in the vital Records of their children. That infers their marriage.
2. Bible records? I have that for my family 1849 - 1940, and that would, I think, be sufficient for many lineage societies.
3. I see you have a town history reference. Perhaps write to the town clerks for what they might have, especially property records.
4. Check state archives for wills and probate records for them, their parents, their children.
5. Burial and church records.
6. Sometimes there are some less thought of records to demonstrate lineage. Heirlooms of course. School records, medical records, store receipts, letters, farm sales ...
7. And don’t forget the census reports and tax records.
Anyone else with specific knowledge for researching New York State?