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Male Nathaniel Palmer Click to view Nathaniel Palmer in the family tree

Nathaniel was born on August 6th, 1801.1   Nathaniel's father was Asa Palmer and his mother was Susanne Unknown.  His paternal grandparents were Abraham Palmer and Rachel Reynolds. He had five brothers and six sisters, named Israel, Richard, Abraham, Asa Parker, James, Rachel, Hulday, Ruth, Anna, Susanne and Abigail.  He was the youngest of the twelve children. He had three half-brothers and three half-sisters, named Benjamin, Sheldon, Eli, Betsy, Dilly and Lorinda.1 

1 phelps.FTW @ Tree #1309
Further sources/citations:
World Family Tree Vol. 3, Ed. 1 @ Tree #3455, 3455.ftw