What does Inaya mean?
Inaya (عناية, 'inaya) comes from the Arabic root '-n-y and means 'care, concern, solicitude', often with the devotional sense of God's care and protection. Inaya is the more common spelling in Arabic script; Anaya is the same word in a different transliteration.
What does Layan mean?
Layan (ليان) comes from the Arabic root l-y-n ('to be soft'), carrying the sense of softness, gentleness and an easy, comfortable life. Some sources add a secondary 'ease/prosperity of living' nuance.