Likely a modern combination of Bray and Jalen
Brailen is a contemporary American invention, likely created by blending the popular prefix 'Bray' (from Braden or Brayden) with the suffix '-len' (from names like Jalen). As a modern coinage, it does not have a singular historical etymology but follows the trend of rhythmic, two-syllable invented names.
Less common today
Brailen isn't in the latest US Top 1000. It last peaked at #5,190 in 2011.
US births per 5-year period, 1990βpresent (SSA data).