John Adcock b. 1691 (in Eng or VA. he had 4 sons: John b.1717, Edward b.1721, Henry b. 1723, Joseph b. 1727 d.1782. & dau. Phoebe b. 1728. Joseph m. Elizabeth Anderson abt 1742. they had 7 sons: John b.1743, George b.1745, Joseph b.1748, Edmund b.1749, Anderson b.1755, Henry, b.1759, William b.1767. Joseph's son John m. Mary Carter abt 1758. they had 7 sons: John b.7-10-1758, William b. abt 1761, Carter b.1773, Edmund b. abt 1774, Henry b. abt 1775, Joseph b. 1776, Joshua b. abt 1776-7 and dau. Phoebe b. abt 1772.
Joseph (1775-6) m. Susannah Cason they had 13 chidren. Lucy was one of their dau. and was m. to Abishai Sallie. they went to IL.
ref 3) John 1754, son of John 1725, son of Henry 1680, son of John 1650 is likely a different family.
as you can see, it is difficult to get all the John's, Joseph's, Henry's and Edward's in the right row.