Elisson \e-lisson, el(is)-son\ as a boy's name is a variant of Ellison (Old English), and the meaning of Elisson is "son of Ellis". The baby name Elisson sounds like Alisson and Elison. Other similar baby names are Alison, Edison, Eliron, Eliso, Eliseo, Elson, Ellyson, Ellson, Elsdon, Elston, Ellston, Esiasson and Esiason.