Save Gender Feminine Usage English (Modern, Rare) Other Forms FormsIlissa, Ilysa, Ilisa Meaning & History Variant of Alyssa or Elissa 2/Elisa. The USA Social Security Administration has recorded 41 girls with the name Ilyssa in 2004.A famous bearer of the name is an American YouTuber: Ilyssa "Illy" Levy (More commonly known as illymation).