region, kingdom, duchy, and province in France, from Medieval Latin Burgundia, from Late Latin Burgundiones, literally "highlanders," from PIE *bhrgh-nt- "high, mighty," from root *bhergh- (2) "high." The Burgundians were a Germanic people, originally from what is now Sweden, who migrated and founded a kingdom west of the Rhine in 411. Their story is told in the 12c. Nibelungenlied. As "wine made in Burgundy," 1670s; as a color resembling that of the wine, 1881 (burgundy rose as a color is from 1872). Related: Burgundian.
"small island in a river; river meadow," late Old English, from Old Norse holmr "small island," especially in a river or bay, or cognate Old Danish hulm, from Proto-Germanic *hul-maz, from PIE root *kel- (2) "to be prominent; hill." Obsolete, but preserved in place names, where it has various senses derived from the basic one of "island:" "'raised ground in marsh, enclosure of marginal land, land in a river-bend, river meadow, promontory'" ["Cambridge Dictionary of English Place-Names"]. Cognate Old English holm (only attested in poetic language) meant "sea, ocean, wave."
<a href="https://www.etymonline.com/word/bornholm">Etymology of bornholm by etymonline</a>
Harper, D. (n.d.). Etymology of bornholm. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/bornholm