Re: Burial Society at Mount Hebron Flushing, Queens, NY #usa
First you want to find out if the society was shtetl based. Even if it was, people would end up with societies for many different reasons, not only because they shared a hometown with most members.
The other research you can do is to trace the original immigrants in your family via naturalization records, passenger manifests, and other records that may indicate a town of birth.
A good place to start is at the free site www.familysearch.org
There you can find all the U.S. census, large databases of passenger arrivals, and a good starting point to search for naturalization records. WW1 draft records sometimes listed town of birth, and WW11 "old man" draft cards often have town of birth listed.
Vital records are also a good source of birthplace.