Never heard of that before, but here it is!

http://www.tetraskele.com/sacred_science/the_birds_of_alchemy_maier_1.html

Bit of a KEK fan, so add this in here - Frog: The First Matter (Prima Materia). The origin of physical matter.

Bennu or Phoenix: Symbol of the Philosopher’s Stone. [so JK or someone did her research for Harry Potter]

Raven or Crow: Initiation through blackness.

The single rose, is in essence, a symbol of completion, of consummate achievement and perfection.

from: The Imagery of Alchemical Art as a Method of Communication by Samuel Scarborough http://www.jwmt.org/v1n9/imagery.html

A bit more info, please - not computing.