The name Phyllis is a girl's name of Greek origin meaning "green bough". Phyllis and is often added to lists like Mythological Baby Names for Girls and discussed in our forums with posts like "The Makeover Baby Name Game".
From the experts:
Phyllis has been used by classical poets for the idealized pastoral maiden. A Greek mythological name of a woman who was turned into an almond tree, Phyllis was in the Top 100 from 1916 to 1958, reaching #24 in 1929, and has the (remote) possibility of joining other revived s-ending names like Iris. In the 'St Clare' book series by Enid Blyton Phyllis is nicknamed Fizz. Just a thought. Phyllida is a variation that sounds at once more old-fashioned and more stylish.