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

Benjamin was born on May 7th, 1805.1   Benjamin's father was Asa Palmer and his mother was Sarah Dean.  His paternal grandparents were Abraham Palmer and Rachel Reynolds. He had two brothers and three sisters, named Sheldon, Eli, Betsy, Dilly and Lorinda.  He was the oldest of the six children. He had six half-brothers and six half-sisters, named Israel, Richard, Abraham, Asa Parker, James, Nathaniel, Rachel, Hulday, Ruth, Anna, Susanne and Abigail.1 

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