While it is generally accepted that the 1637 land patent to one Robert Rockhould (Rockwell), for the arrival of himself, his wife Sarah and daughter Mary, and one Thomasin Rockhould and a Mary Sayo? is the beginning of our family in America.  I have questioned whether Thomasin was Robert's son or maybe his mother. 
I found the following on line:  While there is always question as to the accuracy of transcribed historical documents, I now am more convinced that Thomasin was Robert's mother.  Thomas arrived in 1639, after the original immigrants.  I suspect the Mary Roe might have been a servant or some connection and she brought Thomas to the new world.  I still need to search the eitire document for any others that Robert might have sponsored in the '37 - 40 time frame.
I have only extracted those names I have found interest in, the Boatwright might connect to my mother's family, and any of the Richardsons might connect to Mary, wife of Robert's son John; both Learward and Leonard arrived in Norfolk..  I still have not found the Mary Sayo? (or whatever her name is) that is listed on the 1637 land patent.
New Norfolk,Upper Norfolk,and Namsemund are all pretty much the same, there were several name changes in the '37-'40 time frame.  You can view the entire transcript at the web site below.
http://www.evmedia.com/virginia/
Complete listing of
Early Virginia Immigrants, 1623-1666
(from book published 1912 by George Cabell Greer, now copyright-free)
Each line contains from left to right:
   LAST & FIRST - Name of immigrant who came to America
   ARRIVAL -  Year of immigrant arrival
   SPONSOR - Name of sponsoring person(s) paying passage of immigrant
   COUNTY - County in which sponsor received land for payment of passage
"There are over 17,000 names of immigrants and over
25,000 names including the sponsors.  The original book had many alphabetizing errors,
which have been corrected with computerized sorting.
Scanning the 300+ pages and correcting the many errors has been a labor of love as
partial repayment for those genealogists (professional and non) who have given me gifts.
Allen Price, 2011"
LAST	       FIRST       ARRIVAL  SPONSOR	COUNTY
Boatwright      John	       1654	Humphry Dennis	Gloucester	
Rockwell	     Mary	       1637	Robert Rockwell	New Norfolk		
Rockwell	     Sarah	       1637	Robert Rockwell (husband)	New Norfolk		
Rockwell       Thomas      1639	Robert Rockwell	Upper New Norfolk		
Rockwell	     Thomasin    1637	Robert Rockwell	New Norfolk
Roe	             Mary	       1639	Robert Rockwell	Upper New Norfolk	
Richardson     Barbary      1653 Major Abraham Wood	Charles City		
Richardson     Bridgett      1639 Ralph Barlowe	Northampton		
Richardson     Dorothy     1655 Richard Price	New Kent		
Richardson     Evan	       1648	Thomas Ludwell	James City		
Richardson     Isaac	       1650	Wingfield Webb & Richard Pate	???		
Richardson     Isabell	       1642	Hugh Gwyn	???		
Richardson     John	       1650	James Williams	???		
Richardson     Learward   1637 Henry Catalyn	New Norfolk		
Richardson     Leonard     1638	Henry Catelyn	Upper Norfolk		
Richardson     Luke	       1636	John Chandler	Elizabeth City		
Richardson     Mary	       1645	Bartholomew Hoskins	???		
Richardson     Nicholas    1655	Jervace Dodson	Lancaster		
Richardson     Peter	       1638	Capt Christopher Wormley	???		
Richardson     Peter	       1651	Capt Stephen Gill	Northumberland		
Richardson     Robert       1639	Thomas Faulkner	???		
Richardson     Robert	1655Thomas Peck	Gloucester		
Richardson     Symon	1636William Clarke	Henrico		
Richardson     Thomas      1650Capt Moore Fautleroy	???		
Richardson     Thomas      1638Christopher Branch	Henrico		
Richardson     Thomas      1642Daniell Lewellyn	???		
Richardson     Thomas      1642Thomas Bagwell	Isle of Wright		
Richardson     Thomas      1643William Warder	???		
Richardson     Mary	       1649	Rowland Burnham	???		
Richardson     William      1637	William Farrar	Henrico	
	
