He married Anne Barley . Anne Barley was christened at Great Brickhill, Buckingham, England 2 Mar 1739/40 daughter of Henry Barlow and Sarah Irons .
They were the parents of 9
children:
Zilphah Lawson
born 23 Nov 1761.
Anne Lawson
born 6 Jun 1764.
William Lawson
born 27 Oct 1767.
James Lawson
born 7 Mar 1770.
Susanna Lawson
born 28 Aug 1772.
William Lawson
born 22 Jun 1774.
Lydia Lawson
born 29 May 1777.
Hannah Lawson
born 24 Jul 1779.
Elizabeth Lawson
born 2 Mar 1781/82.