Burness is an uncommon, Scottish surname and given name derived from the Scottish place name 'Brunis', meaning 'broad stream'. It was traditionally a surname, but it has also been used as a given name in some cases.
"Between 1916 and 1960, the name Burness was given to a total of 40 newborns, with notable peaks in certain years like 1927 when it was given to 8 babies."