Babsson \b(a)-bsson, bab(s)-son\ as a boy's name is a variant of Babson (Old English), and the meaning of Babsson is "son of Barbara".
The baby name Babsson sounds like Babsen. Other similar baby names are Bensson, Benson, Benssen, Bryson, Gibson, Hobson, Hobbson, Robson and Robeson.