Nope
Does it appear in The Voyage of the Dawn Treader?
Nope
Does it appear in The Horse and His Boy?
Yes!
Is the species of animal a horse?
No
In our world does this kind of animal usually walk on four legs?
Usually, yes.
A goat? (I think the Hermit in the Horse and His Boy had goats right?)
Set made by Hobbit. Thank you!
Daughter of Aslan (Also known as Dazzle)
Sister of Chess and Pev
Good guess, but no.
(To recap: It's an animal (that usually walks on all fours) that appears in HHB and doesn't appear in any other book.)
Is it a hedgehog?
Set made by Hobbit. Thank you!
Daughter of Aslan (Also known as Dazzle)
Sister of Chess and Pev
Also a good guess, but no.
Does it talk?
Did it appear in the chapter when Shasta arrived in Narnia to get reinforcements for the siege on Anvard?
No and no.
