The story
Various origins: * The village in the East Riding of Yorkshire was recorded as Bagentone in the Domesday Book, suggesting a derivation from the Old English personal name Bǣga + -ing (“belonging to”) + tūn (“enclosure; settlement, town”). * The hamlet in Oxfordshire was recorded as Baditone in the Domesday Book, suggesting a derivation from the Old English personal name Bada + -ing (“belonging to”) + tūn (“enclosure; settlement, town”).
Etymology from Wiktionary, CC BY-SA 4.0.