Joseph Cockman arrived in Moore County, N. C. about 1775. Where he came from is unknown. He married Caterana Cagle, daughter of Henry Cagle, about 1780 and applied for a land grant in Moore County. Descendants presumably account for 90 of the Cockmans who live or lived in the United States. A majority of them settled in North Carolina, Tennessee, and Missouri.

Peter Gunnarson Rambo, son of Gunnar Petersson, was born in about 1612 in Hisingen, Sweden. He came to America in 1640 and settled in Christiana, New Sweden (now Delaware). He married Brita Mattsdotter 7 April 1647. They had eight children. He died in 1698. HIs daughter, Gertrude Rambo, was born 19 October 1650. She married Anders Bengtsson. Descendants and relatives lived mainly in Pennsylvania, Delaware, Virginia, North Carolina and Ohio.