In which Canadian province is the city of Ottawa located?   Ottawa is in the province of Ontario. For more information on the various provinces of Canada, see the Related Link to the website of the Government of Canada.
Wild cockatoos enjoy eating & shredding the leaves, nuts, flowers & branches of the She-Oak. Brush Ironbark/Hickory Wattle Ironbark tree is from the Eucalyptus family and is safe for parrots. Brush Ironbark Wattle or Hickory Wattle is a type of Acacia, but it is also a type of Myrtle and toxic to parrots.
I am not sure why you have seen Eucalyptus on the Unsafe list as this has always been known as a Safe Wood for Birds! I give Codie these branches all the time. Here is a list of safe woods and you will see Eucalyptus is listed. Toxic and Safe Plants/Trees for Birds - Household Poisons.