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New York, Marriages, 1686-1980
Citing this Record "New York, Marriages, 1686-1980," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/VK1V-L8D
James Rayner
spouse Mary Searing
Marriage 02 Sep 1753 Saint Georges Church, Hempstead, Nassau, NY
New York, Births and Christenings, 1640-1962
Citing this Record "New York, Births and Christenings, 1640-1962," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/V2HD-Z32
James Reyner Male
christening date: 14 Oct 1733
christening place: SAINT GEORGES CHURCH,HEMPSTEAD,NASSAU,NEW YORK
father Ezekiel Reyner mother Aimy
Additional birth records for this couple include sons Benjamin, Elijah, Joseph, Daniel, maybe those names will be familiar and you can confirm if this is the correct James you are looking for.