Assheton \a-sshe-ton\ as a boy's name is a variant of Ashton (Old English), and the meaning of Assheton is "ash tree town".

The baby name Assheton sounds like Aston, Austin, Austen, Austyn, Easton, Eston, Jeston and Weston. Other similar baby names are Alston, Ashtun and Ashtin.