Hi Lisa, thanks for your message.
Sorry, but the only records I have of the Hiams are:
John b.1752 married Elizabeth? b.1756 married about 1777. Their children were:
Lydia 15 Feb 1778
Joseph 11 June 1780
Matthew 11 Feb 1781
Lynda 9 Dec 1781
I could not find John's parents, so it's impossible for me to go back further in the Hiam lineage, Hiam is an unusual name so there may be a connection with your family, if somewhat diluted. This branch is connected to my Houghton family, my paternal side, my maiden name's Martin..
These are the earliest records (taken from the LDS website) I could find for the period you suggested:
Search Results from Historical Records
1-10 of 10 results for Name: Hiam, Event: Birth, Place: England, Event Range: 1710-1740
Number of results to show: 205075Export Results 1-20
Preview Name Events Relationships Details Image
Anne Hiam
England Births and Christenings, 1538-1975
christening: 12 February 1716 Whilton, Northampton, England
father: William Hiam
mother: Anne
Elizabeth Hiam
England Births and Christenings, 1538-1975
birth: 21 May 1724
christening: 14 June 1724 SAINT MARY-ST MARYLEBONE ROAD,ST MARYLEBONE,LONDON,ENGLAND
father: Thomas Hiam
mother: Elizabeth
Sarah Hiam
England Births and Christenings, 1538-1975
christening: 27 December 1724 CHALGROVE,OXFORD,ENGLAND
father: John Hiam
mother: Amy
Anne Hiam
England Births and Christenings, 1538-1975
christening: 12 February 1716 Whilton, Northampton, England
residence: Whilton, Northampton, England
father: William Hiam
mother: Anne
Jn. Hiam
England Births and Christenings, 1538-1975
christening: 2 November 1740 TINGRITH,BEDFORD,ENGLAND
father: Sam. Hiam
mother: Mary
William Hiam
England Births and Christenings, 1538-1975
christening: 23 December 1711 Rolvenden, Kent, England
residence: Rolvenden, Kent, England
father: Mizael Hiam
Christian Hiam
England Births and Christenings, 1538-1975
christening: 26 December 1717 Wanstrow, Somerset, England
residence: Wanstrow, Somerset, England
father: Charles Hiam
Matthew Hiam
England Births and Christenings, 1538-1975
christening: 29 May 1722 CHALGROVE,OXFORD,ENGLAND
father: John Hiam
mother: Amy
John Hiam
England Births and Christenings, 1538-1975
christening: 14 January 1733 CLOPHILL,BEDFORD,ENGLAND
father: Thomas Hiam
mother: Susan
James Higham Or Hiam
England Births and Christenings, 1538-1975
christening: 1718 PRITTLEWELL,ESSEX,ENGLAND
father: Saml. Higham Or Hiam
mother: Sarah
As you can see, there are none from the Norfolk area at that time?
Kind regards
Hunnyb2252