Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
BATTAILE
As described in historical dictionaries
Patronymica Britannica (1860)
EATTLE. BATTAILE. Battel, a town ill Sussex, so named from the battle, commonly called, of Hastings. The surname is latinized De Bello.