When primary municipal records are missing, what other sources might have some of the information those municipal records would have contained?

For example, for the former Village of Lansingburgh for 1811-1831 it was noted over 100 years ago: “records missing”

Anderson, George Baker. Landmarks of Rensselaer County, New York. Syracuse, NY: D. Mason & Co., 1897. 401-402.
https://books.google.com/books?id=TuNPAQAAIAAJ&pg=PA401

To determine who the Presidents, Trustees, Clerks, etc. were during that time would any other sort of records preserve that information? Newspapers, maybe.  Would there be state or county records that would have reason to refer to municipal officers?  (I should probably note here that I’m a Trustee of the Lansingburgh Historical Society.)

There same problem exists with respect to a shorter period of time for the Village of Troy (and no doubt for many other places):

Village of Troy 1795-1797: “no records extant”
Weise, Arthur James. Troy’s One Hundred Years, 1789-1889. Troy, NY: William H. Young, 1891. 323.
https://books.google.com/books?id=O5ZHAAAAYAAJ&pg=PA323

It would be nice to be able to fill in such gaps!

Chris Philippo