Is the lory in Alice in Wonderland an eagle?

A lory is not an eagle, it's a type of parrot. To see the Wikipedia entry on lories follow the related link below.

In the book Alice's Adventures in Wonderland, the lory is the bird described above, but also represents Alice LidDELL's sister, Lorina.

Alice, Lorina and their sister, Edith were the three little girls to whom Lewis Carroll first told the story of Alice's trip to Wonderland.