Likely a modern combination of Braxton and Hadley
Brexley is a contemporary American invention, likely created by blending the popular surname-style elements 'Brex' (from Braxton) and 'ley' (from names like Hadley or Paisley). It follows the modern trend of creating unique, rhythmic names with a surname feel. Because it is a recent creation, it lacks a traditional etymological history.
Less common today
Brexley isn't in the latest US Top 1000. It last peaked at #2,326 in 2021.
US births per 5-year period, 1990βpresent (SSA data).