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

Sheldon was born on June 27th, 1811.1   Sheldon'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 Benjamin, Eli, Betsy, Dilly and Lorinda.  He was the third youngest 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