Second: How did you get your pet? Quest reward? School pet? Bought from shops? Hatched?
The reason I ask these questions is because there are many pets that do not have any healing talents in the first generations (those are the ones received from quests, shops etc)
Now many pets such as the sea dragon have a chance at developing spritely in the first generation but there is just a chance you will receive this talent.
You can increase your chances of receiving a healing talent by hatching with a pet that already has a healing talent (or two or three) and training the new egg, but it is only a chance there is no guarantee.
But if you keep hatching with the newest egg and keep hatching with pets that have healing abilities eventually you will get one. Now getting one on the pet you want is a bit of a challenge but can be done.
I have many pets that have a healing talent or two and am always willing to help with hatches.
Yes, there is a way.You can hatch with other wizard players. If you hatch with another wizard(who has a healing spell), you can get a healing spell.Hatching's available in Pet Pavilion, if you didn't know.