Brocks town
A modern creative spelling of Braxton, which originates from an English surname meaning 'Brock's settlement.' The name likely refers to a location belonging to a person named Bracc, an Old English name possibly derived from a word for badger.
Less common today
Braxtyn isn't in the latest US Top 1000. It last peaked at #1,320 in 2017.
US births per 5-year period, 1990βpresent (SSA data).