The earliest member of my Adams family,I have found is Randal Adams born in 1530. His sons were Thomas b.1558 and William who d.1598. Thomas married Margaret Erpe. Their son William Adams was born February 1593/94 in Shropshire and died in Ipswich,Ma. It is said his son also William was left in England when his parents emigrated. He joined them in MA. in 1635. He married Elizabeth Stacy.
If you think there is connection, please contact me at the address for me on genforum.