> late Middle English (denoting a bung for the vent hole of a cask, or a tap for drawing liquor from a container): from Old French fausset, from Provençal falset, from falsar ‘to bore’. The current sense dates from the mid 19th cent.
> Old English tæppa ‘peg for the vent-hole of a cask’, tæppian ‘provide (a cask) with a stopper’, of Germanic origin; related to Dutch tap and German, Zapfen (nouns).
Both had the same classical meaning from different origins, but the British chose the German/Dutch word while the Americans chose the French/Latin word.