History of Manchester
According to Oxford University Press, Manchester derived its name from Mamucium, the Roman name for the 1st century-settlement and fort. Mamucium itself is a Latinised form of the Celtic meaning "breast-shaped hill".
Carrington, Greater Manchester
Several derivations of the name Carrington have been suggested, all from Old English. The name may mean "estate associated with a man called Cara"; alternatively, the first part of the name may be derived from "caring", meaning "tending or herding" or "cring", which means "river bend", so either "place associated with herding", or "settlement by a river bend". In the 12th century, Carrington was known as Carrintona.