It is possible that that newspaper you need for your research is only available on microfilm? Not every old newspaper is available online –free or not–and your research should not only utilize those items that are online.
WorldCat (http://www.worldcat.org) and the Library of Congress Newspaper Directory (
https://chroniclingamerica.loc.gov/search/titles/ ) are good places to start looking for newspapers in your area of interest.
Reaching out to others with research interests in the same area to inquire about newspapers and their availability is also a good idea as well.