Alldrich \a-lldri-ch, al(ld)-rich\ as a boy's name is a variant of Aldrich (Old English), and the meaning of Alldrich is "old". The baby name Alldrich sounds like Elldrich, Eldrich, Aldritch and Aldric. Other similar baby names are Alberich, Alldred, Alldridge, Aldrin and Aldrige.