In Source:Cutter, William Richard. Index to Genealogical and Personal Memoirs Relating to the Families of the State of Massachusetts, p. 3:1608, it says "The surname Canterbury is of ancient England origin, derived from the place name. In the early American records it is also spelled Canglebury, Cantilbury, etc. There were two immigrants of the family in Massachusetts among the first settlers, Cornelius and William."

In Source:Essex, Massachusetts, United States. Records and Files of the Quarterly Courts of Essex County, Massachusetts, Vol. II (1656-1662), where William Cantlebury lived, we find the name spelled Canterbery, Canterbury, Cantlebery, Cantlebury, and Cantleburye, all referring to just William and his immediate family. In the Salem town meeting of 26 Feb 1638/39, land is granted to "Will Cantilbury".