I had always heard that my maternal grandfather (from Kovno, Lithuania). was born in New York, but he could never prove it. I even have a form that he sent to the records department of NYC seeking a birth certificate, which was returned as "not found". On all his immigration documents he lists Lithuania as his birth country.
About five years ago, distant cousins on a genealogy site found the circumstantial evidence that he WAS born in NYC. His parents arrived in NY in 1891, and their son, Leo, was born three months later. We found the source documentation for all this. (There is no further data anywhere about Leo after birth.) My grandfather's birth date is in 1892- no certificate. My GGM died in New York in 1895 at age 30. With no other family in NY, my GGF went back to Lithuania with my GF and ??Leo. (Maybe Leo died young?). He remarried in 1896 in Kovno, and had two more children- all well documented.
Ultimately, my grandfather came to the US in 1913 by himself. He met my grandmother in S. Philly and they started their family. My GF continued to send money back to the Lithuania, and I have all the receipts from the Blitzstein bank in Philadelphia. My GF worked very hard to get his half-sister to the US, in a process that took years, since immigration restrictions were begun in the 1920s. She lived in Canada for a few years before she was able to enter the US and come to Philly. I remember my Great Aunt Bessie well.
SHAINSKY, GORDON, GOROPOTCH, KAMENETZKY, LUDWIG> Belaya Tserkov, Ukraine
MALKIEL, DEWERE/DVIR/DWER> Dagda, Latvia
ETKIN, ETKINAS, LARVE/KATZ, MELAMED> Kovno/Kaunas, Slobodka/Vilajampole Lithuania