I have seen some people confused about pets, so let me clear things up!
1. Hybrids. People get confused when they hatch Jade Oni with Heckhound and don't get Jadehound or something. Well hatching only works with lvl48 pets and a few gift card pets.
2. Talents. Most wizards think that if their pet is well known for a talent and they don't get it, it's a bug. Sometimes the pet does not get the talent. Might be a bummer but, you can always try to get another pet with the same talent!
3. Chances for Hybrids. When you hatch you have 50% for a Hybrid, 50% for your own pet (Read number 1).
I hope this has cleared most things up for the muddled. If you have any more tips - feel free to post them!