I don't know where the use of the word in percussion began, but it's a pretty widespread percussion term and predates modern American-style marching percussion.
In some languages, the word "battery" is used for a set of drums
Language: drum, drum set
French: tambour, batterie
Italian: tamburo, batteria
Spanish: tambor, bateria
In Brazil, the marching drums in a samba performance are collectively referred to as the bateria.