History of how Bexhill-on-Sea, East Sussex got its name?

Question

History of how Bexhill-on-Sea, East Sussex got its name?

Answer 1

Bexhill-on-Sea (often simply Bexhill) is a town and seaside resort in the county of East Sussex, in the south of England, within the Rother District Council area. It has a population of approximately 40,000. The Anglo-Saxon name for the settlement was Bexelei, from leah—a glade where the box tree grows

Answer 2

The Anglo-Saxon name for the settlement was Bexelei from leah a glade, where box grows. The on-sea bit is self evident.

Answer 3

The above answer sounds good, but as an amusing by-the-way, did you know that the Goon Show did an episode entitled "The Dreaded Batter Pudding Hurler of Bexhill-on-Sea"? First broadcast October 1954