Basically, Gray Cowl of Nocturnal is the "Cowl of Office" of sorts for the Thieves Guild's Guild Master. Those who don the Gray Cowl is called "The Gray Fox", which is the Thieves Guild's Guild Master
It is handed down through generations of Gray Foxes to the next Gray Fox. At least up until the events in Oblivion
How come the Gray Fox is not in Skyrim? Is it perhaps because the Thieves Guild branch in Skyrim is not connected to the Thieves Guild in Cyrodiil?