My selfish wife decided she wanted to have a baby then and I missed out.
But I came back today and found on the 6th day I still managed to get the pet! It seems to be random as to which one it is, and does not depend on what you feed the.
After completing this quest, you will receive one , and you will now be able to pick up , which are objects located throughout the zone.
You can also do this on multiple characters at once.
They are all cageable, and you can buy or sell them on the Auction House.