James Vanderbeek is more common then you would think.
Here is one born in the same year. Another one was born in 1818.
James Vanderbeek in the U.S., Dutch Reformed Church Records in Selected States, 1639-2000
Name: James Vanderbeek
Event Type: Baptism
Birth Date: 4 Apr 1813
Father: Paul Vanderbeek
Mother: Hannah Vanderbeek
Baptism Date: 25 Apr 1813
Baptism Place: Paramus, Bergen, New Jersey, USA