The University of PA has a searchable database called Accessible
Archives with a free 30 day trial.   These are a sampling of some of
the newspapers available which do include NYS matters in them.
The database includes:
The Pennsylvania Gazette 1728-1800 which includes:
(1728 - 1750) "Benjamin Franklinís Newspaper"
(1751 - 1765) "The French & Indian War"
(1766 - 1783) "The American Revolution"
(1784 - 1800) "The New Republic"
The Civil War: A Newspaper Perspective
African American Newspapers: The 19th Century
The Pennsylvania Newspaper Record: Delaware County 1819-1870
The Pennsylvania Genealogical Catalogue: Chester County 1809-1870
Godey's Ladys Book 1830-1880