"Blend of Bri and Lynn"
The name Brilyn is commonly a unisex name from the "English" origin.
Brilyn is a modern American formation, first recorded in US birth data in 1998. Its form reads as a blend of a Bri- opening, as in Bryn or Brianna, with the -lyn ending that also appears in Lynn, Kaitlyn and Brooklyn. No earlier or non-English use of the name is recorded.
The pronunciation of Brilyn is BRY-lin.