French word bâton comes from Late Latin bastum, Vulgar Latin *bastō, and later Old French baston (Stick, truncheon.)

Detailed word origin of bâton

Dictionary entry	Language	Definition
bastum	Late Latin (LL)
*bastō	Vulgar Latin (la-vul)
*basto	Vulgar Latin (la-vul)
baston	Old French (fro)	Stick, truncheon.
bâton	French (fra)	(heraldiccharge) baton (as a charge). Stick.

Words with the same origin as bâton