The name Phyllis is a girl's name of Greek origin meaning "green bough". Phyllis and is often added to lists like Mythology Baby Names for Girls and discussed in our forums with posts like "Girls Makeover - Two Middles".
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.