Excerpt from Captain George Elliott of the Virginia Navy, pages 25-26: 
"From the fire damaged Ireland records in Dublin enough has been salvaged to decipher the background of Capt. George Elliot in Co. Down.
Alexander Elliot, his father, is recorded as having left a Will (destroyed), and the date of his death, his age and his burial place are stated. One can assume his father and grandfather were William and Geroge Elliot as they were living in Banbridge in 1789 [sic—should have read 1689] at the time of the Siege of Londonderry. These names were over and over handed down from father to son.
The family evidently was a prosperous one and operated one of the hackling and weaving mills at Banbridge, for two of the sons in America listed themselves as ‘weavers’. In Augusta, Co., Va., Capt. George Elliot operated a combined milling establishment such as he would have been familiar with in Co. Down.
The children of Alexander Elliot were a part of the great exodus from Ulster to America. Evidence is they came rather in pairs, and it would seem the youngest daughter came after the father’s death in 1762."
Excerpt from Captain George Elliott of the Virginia Navy, page 29:
"Alexander Elliot of Banbridge, Co. Down, Ireland, b. 1686, d. Dec. 21, 1762 - bur. at Banbridge Grave Yard.
The children of Alexander, all grown and some married, came to America in the great Scotch-Irish migration just before the Fr. and Ind. War, around 1755. The continuous use of the names Alexander, George, William, Robert, John and Barbara establishes them as separate Elliotts from other families in Pa., Va. and S. Car., though all were dwelling side by side. The use of the double T seemed to become prevalent among the Scotch-Irish Elliots though in some legal documents Capt. George Elliott reverted to one T. Evidence is there were strong family ties for in choosing places of settlement brother and brother, or brother and sister are found together in three of the colonies."
↑ 1.01.1 Anne Elliott Odell, Captain George Elliott of the Virginia Navy : and some allied families, Anderson, Atkins, Baker, Bridgewater, Campbell, Carpenter, Creel, Dadisman, Diddle, Fry, Grady, Hindman, Hughes, Jones, Lightfoot, McKay, Nelson, Odell, Pennebaker, Slaughter, Taylor, Thomas (Pasadena, California: Duraset Composing, 1961), pages 25-26, and 29.
It may be possible to confirm family relationships with Alexander by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share DNA with Alexander: