This question arises given the definition of father and mother as seen in the Spanish dictionary composed by the Royal Spanish Academy. Basically it says that a father/mother is a man/woman or a male/female animal that has engendered/given birth to an individual of the same species (Spanish: "especie").
The Spanish word "especie" could also be translated here as "kind", but let's assume it refers to its zoological definition. That definition would be mostly true, but what about mules or ligers?
In the case of mules, they are the offspring of a male donkey and a female horse. A male donkey is considered to be of the species Equus asinus, while a female horse is an Equus caballus. The mule is an individual of the species Equus asinus♂ × Equus caballus♀, but what is exactly that? It is the set resulting from the addition of the two parent species, or is it a complete, new species? In other words, are mules considered to be of the same species of a donkey or a horse? Or what they all have in common is just the genus?