Combination of Brianna and Lynn
Brilyn is a modern American invention, likely created by blending the popular prefix 'Bri-' (from Brianna or Bridget) with the suffix '-lyn'. It follows the contemporary trend of creating melodic, multi-syllabic names by combining established phonetic elements.
Less common today
Brilyn isn't in the latest US Top 1000. It last peaked at #4,066 in 2013.
US births per 5-year period, 1990βpresent (SSA data).