Abba_S-It is very different in NY from out of town!
My maternal grandparents are in King David-Elmont, My paternal line is in MT. Hebron-Queens. In those cemeteries, many synagogues own sections for their members.
Here in Connecticut, virtually every synagogue owns its own cemetery. The local Jewish Funeral Director owns 2 cemeteries that I know of. One of my childhood friends owns a cemetery in New Haven that was started by his grandfather in 1920.
Local Jewish Federations in CT and Massachusetts have had to take over derelict cemeteries—owned by defunct shuls or landsleit with no surviving members, money or interest.
The rules, customs and laws vary by state and area.