Spanish explorer Alonso Alvarez de Pineda maps Texas coastline. Alaminos persuaded the governor of Jamaica, Francisco de Garay, to finance an expedition to search the remainder of the Gulf. Garay outfitted four ships and placed them under the command of Alvarez de Pineda. He left Jamaica in early 1519 and sailed west to follow the northern coastline of the Gulf.At the western tip of Southern Florida, he attempted to sail east, but the winds were uncooperative. Instead, Alvarez de Pineda.