Addeson \a-dde-son\ as a girl's name (also used as boy's name Addeson), is a variant of Addison (Old English), and the meaning of Addeson is "son of Adam". The baby name Addeson sounds like Addyson, Adisson and Adison. Other similar baby names are Adelyn, Adesina, Adeen, Aydenn, Ayden, Aiden, Aden, Alyson, Allyson, Allison, Alison, Audessa, Madison, Madyson and Maddison.