On her Social Security Application, Anna gives her father's name as "Hirsh Serensky" -- and place of birth as "Russia Grodno Grodno"
On his 1927 Will, the brother of Anna's mother gives the surname of Anna's mother as "Serenski" (and says, referring to Anna's mother, "of the City of Grodno, in Poland")
On the 1928 NY Arrival as Anna Baran, her place of birth is given as Country: Poland, City or Town: Sokolki
This seems to give two definitely different Birth Locations - Grodno or Sokolki
And two minor variations on the Birth Surname -- "Serensky" and "Serenski" .