Coneys and rabbits and hares aren’t quite the same thing, although they might be used interchangeably.
Rabbits are technically baby conies.
Conies may be raised for food use (or for pelt use – rabbit was used to line cloaks, among other things). Hares are wild creatures that are caught (and therefore may have a more ‘gamey ‘ taste).
How to bake Conies, Rabets, or Hares, with fruit or without fruit.
Season them with Pepper and Salte, Cloves and mace, and so laye them into your paste with Corance or Prunes, great Raisins and if you will: butter and a little vergious.
1591. A.W. A Book of Cookrye
Bunnies, in the 17th century, are bunions and not little woodland creatures at all.