Alleece \a-llee-ce\ as a girl's name is a variant of Alice (Old German), and the meaning of Alleece is "noble, exalted".
The baby name Alleece sounds like Aleece, Allyce, Allice and Alleeceea. Other similar baby names are Allene, Alleen, Aileene, Alleine, Alleyne, Allette, Faleece and Allerie.