Those Known For Being The Monica Of Their Friends Group Will Love The Girls Name, Alysse. This Variant Of Alyssa Has Greek Roots And Has The Simple Meaning Of "rational." Not Only Will It Inspire Your Little Angel To Tidy Their Toys, But It Also Has Some Serious Star Power. The Most Famous Person With This Name Is The Wildly Talented Actress, Singer, And Activist Alyssa Milano, Most Known For Playing Phoebe Halliwell In Charmed. Some Adorable Variants Include Alyse, Alissa, And Lyssa.