In his account of the conquest of Mexico, Captain Bernal Diaz del Castillo, bold companion of Cortez, relates: "In the month of May, 1532, the Marquis del Valle (Cortez) sent two ships from the port of Acapulco, to make discoveries in the South Seas. They were commanded by a captain named Diego Hurtado de Mendoza, who, without going far to sea, or doing anything worthy of relating, had the misfortune of a mutiny among the troops, in consequence whereof, one ship, of which the mutineers took possession, returned to New Spain to the great disappointment of Cortez. As for Hurtado, neither he nor his vessel were ever heard of again."
If mutineers took over Mendoza's ship, the Iqueque, the Gulf would have been a logical hiding place for them. It was the spot that the mutineer Jiminez head for, a short time later, when he took over a ship which Cortez sent out to search for Mendoza. Jiminez was the first known to have discovered and landed on the peninsula of Lower California, and he and his companions were killed by the natives there. The expedition of Francisco de Ulloa, which went to the head of the Gulf, was also searching for Mendoza, as well as exploring.