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Female Rachel Palmer Click to view Rachel Palmer in the family tree

Rachel was born on July 23rd, 1780.1   Rachel's father was Asa Palmer and her mother was Susanne Unknown.  Her paternal grandparents were Abraham Palmer and Rachel Reynolds. She had six brothers and five sisters, named Israel, Richard, Abraham, Asa Parker, James, Nathaniel, Hulday, Ruth, Anna, Susanne and Abigail.  She was the second oldest of the twelve children. She 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