yes, I would appreciate it if you could look it up. I have very little on Thomas, son of Robert.
According to my info, Thomas was born before 1562, and thus the son of Robert's first wife, Elizabeth, who was buried 2 November 1574 in Harrietsham. I have him dying after 1634, as does his wife Anna. He was a yeoman, and did not emigrate to America.
But none of this is documented.
Nor did Stephen emigrate; he was born or baptized 15 Feb.1578/9, and thus the son of Robert's second wife, Katherine (widow of Thomas Leese) - as was Samuel, who was baptized 25 May 1589. Both Samuel and his niece Elizabeth (my forebear) came on the Hercules. But I also have quite a few family connections with Samuel's descendants.