Middle English word bacche comes from Proto-Indo-European *bʰog-, and later Proto-Germanic *bakiz (Beach, strand. Brook, stream.)

Detailed word origin of bacche

Dictionary entry	Language	Definition
*bʰog-	Proto-Indo-European (ine-pro)	flowing water, flowing water, brook, stream, flowing water, stream
*bakiz	Proto-Germanic (gem-pro)	Beach, strand. Brook, stream.
*bæċċe	Old English (ang)
bache	Middle English (enm)

Words with the same origin as bacche