Do you think you may have ancestors that came over on the Mayflower? If so, you may want to check out these websites.
The Society of Mayflower Descendants, https://themayflowersociety.org/join/join/, has genealogy resources to help determine if you are one of the descendants.
There is a New York chapter of the Society at: https://www.mayflowernewyork.org/
Another interesting website is Mayflower History at: http://mayflowerhistory.com/museums-and-societies. There is the Mayflower Passenger List, links to Mayflower Society chapters, and a research library.
The New England Historical and Genealogical Society has several databases such as “General Society of Mayflower Descendants Membership Applications, 1620-1920,” “ Mayflower Families Fifth Generation Descendants, 1700-1880” and 50 years of the Mayflower Quarterly journal.
You can do a search on the databases without a subscription but you will need a subscription to view the records.
In addition, FamilySearch.org has a free searchable database that was created from two data sources: the 30-volume publication “Mayflower Families through Five Generations: Descendants of the Pilgrims Who Landed at Plymouth, Massachusetts, December 1620” and the documented applications for membership in the General Society of Mayflower Descendants, submitted from 1896 to early 2019.
You can search this database at: https://www.familysearch.org/en/collection/mayflower-descendants/

