Individual Details

Elizabeth Smith was his first wife.
Children: Elizabeth Arnold Mason, Israel Arnold III, Lydia Arnold Sheldon, Benjamin Arnold, Christopher Arnold, Stephen Arnold, Sion Arnold, Mary Arnold Carpenter, Simon Arnold, and Phebe Arnold Potter.

He married, second, on Dec 24,1719 at Warwick,RI, Dorothy (Whipple) Rhodes, the widow of Malachi Rhodes Jr, and daughter of John Whipple Jr and his second wife Rebecca (Browne) Scott Whipple of Providence,RI. Dorothy died on Sep 10,1723 at Warwick,RI.
Children(by second marriage): Rebecca Arnold and Joseph Arnold.

He married, third, on Jun 27,1730, Elizabeth (Stafford) Case, the widow of William Case. She was the daughter of Joseph Stafford and Sarah Holden Stafford of Warwick, and she died Aug 21,1756.
Children(by third marriage): Bathsheba Arnold

I have an autosomal DNA match to a descendant but she claims through the daughter Lydia and has her married to Nathaniel Jenks. She seems instead to be this lady who married Joseph Sheldon:
Lydia Arnold Sheldon
Birth: Jan. 8, 1703
Warwick
Kent County
Rhode Island, USA
Death: Jul. 11, 1772
Warwick
Kent County
Rhode Island, USA
Children: Lydia Sheldon Manchester, Joseph Sheldon Jr, Christopher Sheldon, Elizabeth Sheldon, Abigail Sheldon, Hannah Sheldon, Mercy Sheldon, and Mary Sheldon Brown.

Birth	18 Jan 1678
Marriage	28 Feb 1698/99	Warwick, Kent County, Rhode Island - Elizabeth Smith
Death	3 Aug 1753	Warwick, Kent County, Rhode Island

Spouse

Elizabeth Smith (1672 - 1719)

Father	Israel Arnold (1649 - 1717)
Mother	Mary BARKER Smith ( - )