method to return object of class corresponding to specific input data

I'm trying to write a method that is supposed to return me an object of a subclass depending on some input data. Let me try to explain

class Pet():
    @classmethod
    def parse(cls,data):
         #return Pet() if all else fails
         pass

class BigPet(Pet):
    size = "big"

    @classmethod
    def parse(cls,data):
         #return BigPet() if all subclass parsers fails
         pass        

class SmallPet(Pet):
    size = "small"

    @classmethod
    def parse(cls,data):
         #return SmallPet() if all subclass parsers fails
         pass 

class Cat(SmallPet):
    sound = "maw"

    @classmethod
    def parse(cls,data):
         #return Cat() if all criteria met
         pass 

class Dog(BigPet):
    sound = "woof"

    @classmethod
    def parse(cls,data):
         #return Dog() if all criteria met
         pass 

Imagine that I would like to make a "parser", such as this:

Pet.parse(["big", "woof"])
> returns object of class Dog

Pet.parse(["small", "maw"])
> returns object of class Cat

Pet.parse(["small", "blup"])
> returns object of class SmallPet

I have no idea of how to write this in a proper way. Any suggestions? Of course this is a bullshit example. I'd like to apply this on different packets of a communication protocol of some kind.

If i am approaching this in a completely wrong way, please tell me :)