Summon your wayward hatchling minion. Until he finds his real mother, you'll have to suffice.
Even if this orphaned avian were to stumble across his birth parent, chances are he would not even blink an eye, for it is well documented that immediately after hatching, chocobos recognize the first thing they see as their mother─that being you.
How to obtain:
Purchase -- Minion Trader - The Gold Saucer - 2,400 Gil
Purchase -- Maisenta (Gridania) / Roarich (Ul'dah) / Bango Zango (Limsa Lominsa) - 2,400 Gil