The story
Two main origins: * The village in Greater Manchester is named with the unattested Old English personal name *Cāra + -ing (“belonging to”) + tūn (“enclosure; settlement, town”). * The village in Scotland is named with the unattested Old English personal name *Cērihere + -ing (“belonging to”) + tūn (“enclosure; settlement, town”).
Etymology from Wiktionary, CC BY-SA 4.0.