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Male Alexander Bryson Click to view Alexander Bryson in the family tree

Alexander was born on May 30th, 1756.1   Alexander's father was John Bryson and his mother was Margaret Bryson.  His paternal grandparents were John Bryson and Ann Bryson. He had two brothers and six sisters, named James, John, Anne, Mary, Sarah, Frances, Margaret and Elizabeth "Betsy".  He was the fourth oldest of the nine children.1 

1 phelps.FTW @ Tree #1353
Further sources/citations:
World Family Tree Vol. 4, Ed. 1 @ Tree #1353, 1353.ftw