The Fulton History website is a great source of newspaper articles (from 1817 to 2007) if you're interested in finding material from New York State newspapers--not just the Brooklyn Daily Eagle, but also newspapers from many towns and cities located in upstate New York.
You can see a list of newspapers that are accessible via their database, as well as find answers to frequently asked questions, by using their FAQ Help Index link. The articles will appear in a PDF format, so you need to be able to read PDF on your computer.
Your blogmaster, with great surprise and delight, found a short article about his paternal grandmother (whom he never knew) in a 1929 Utica newspaper, even though his grandmother always lived in Brooklyn. This means one never knows. It's best to conduct a search and hope for the best, as always.
Such newspapers as the Brooklyn Daily Eagle even listed school graduates, at least for the graduating classes of the late twenties and thirties. This didn't just include high school classes, but also middle school.
The key to searching in this database, as well as other such databases, is how you input your search words. If you're looking for information about a Max Cohen from Brooklyn, search as follows: "Max Cohen" "Brooklyn", making sure you use the quotation marks where appropriate, so that all mentions of Max and all mentions of Cohens and all mentions of Brooklyn don't appear with your search results.
Many researchers use ProQuest to search the New York Times archives, and this Fulton History database is almost as good--plus you can use this from the comfort of your own home (and it's free).
The link is www.fultonhistory.com/Fulton.html.