I belive that my ggggggg Grandfather, William Beckham (1650-?) was the grandfather of Thomas (husband of Mary Hughs).I show Thomas' parents to be William Beckham (1709-1776) and Phillis Randolph (1709-?), and William's parents to be William Beckham (1650-?) and likely Tabetha Randolph (1687-?.
Unfortunately, you have far more information to offer than I have.I do have two more generations about William and Tabetha, but do not have places, years of deaths, etc.