Re: US immigration records in early 19th century #usa
You may be searching the right way however it was probably too early to obtain the information you want from those records. According to this Ellis Island link about researching U.S. immigration records, it seems:
The person's birthplace was not requested on ships' lists until 1906.
And it wasn't until 1907 that a second page was added that included the name and address of the alien's nearest relative in the country from which they came.