Noble, of noble kind
Alayssa is a modern phonetic variant of Alyssa, which itself is derived from the flower Alyssum or as a diminutive of Alice. It ultimately traces back to the Germanic name Adalheidis, meaning noble type or of noble birth.
Less common today
Alayssa isn't in the latest US Top 1000. It last peaked at #7,718 in 2017.
US births per 5-year period, 1990βpresent (SSA data).