Son of Bran; raven
A modern American spelling variation of Branson, which is an English patronymic surname meaning 'son of Bran.' The name Bran itself is of Celtic origin, meaning 'raven,' a bird often associated with wisdom and prophecy in mythology.
Less common today
Bransyn isn't in the latest US Top 1000. It last peaked at #3,740 in 2013.
US births per 5-year period, 1990βpresent (SSA data).