I don't know whether they are the same family, however, I have been (unsucessfully) searching for an Allen family which lived in NY around 1800.
Children: Samuel H (Hubbard? since this is the mother's name...), Judith, Catherine, William, Eliza Patridge, John Thomas, Sally, Joseph. Eliza has a birth date of March 19, 1795, but I don't have much on her family.
I am decended from Samuel H.
Their parents were William Allen and Catherine Hubbard. William appears to have materialized from the sand because I cannot find *anything* on him at all that would lead to finding his parents or siblings.
Hope this helps you, and if anyone has anything to add to my info, I would greatly appreciate it!!