Yes, cony: https://en.wiktionary.org/wiki/cony#English
See also the note at rabbit: https://en.wiktionary.org/wiki/rabbit#English apparently rabbits themselves are all French. "hare is indeed inherited from Proto-Germanic."
So hares are the locals and rabbits are the French immigrants
Instruction on recognizing the bun [the scientific term] and their ranks: https://m.xkcd.com/1682/
Sequels include bun alert: https://m.xkcd.com/1871/
And bun trend: https://m.xkcd.com/1903/
The reason it got "lost":
> the similarity to cunt (and particularly homophony with cunny) led through taboo avoidance both to the word's displacement in the main by rabbit and bunny
I'm guessing it's a cognate with the Spanish word for rabbit (conejo)?