Branches of the Burness family in the United States, Canada or Australia which may be connected to Scottish or English branches.
- Descendants of Andrew Burness a cooper in Cincinatti, Ohio.
- Descendants of August Burness who lived in New York City.
- Descendants of Charles Burness who lived in New York City.
- Descendants of Charles H. Burness a sailor in Baltimore, Maryland.
- Descendants of John Burness probably born in Nova Scotia, and moved to Massachusetts.
- Descendants of Richard Burness a miner in Australia whose birthplace is unknown