this is just a list i came up with to help us all out. bellow is a list of the elements that the pets are and what properties the pets will have.
Water : +stamina + intelligence ++ wisdom
Earth : ++ strength + stamina +dexterity
Fire : + stamina ++intelligence + wisdom
Dark: + strength +stamina ++ dexterity
Wind : +stamina ++ dexterity + wisdom
Light : + strength ++ stamina + wisdom
Rune Eggs have no element alignment but the add to all stats equally.
based on the rarity and level of the pet will decide how much they add to the stats. above where you see the "++" that is the stat that the higher bonus amongst the three.
hopefully this will help people figure out what pet is right for them.