Male names: Guarionex (common name in Cuba), Urayoan (used in Boriken a lot), or any of the cacikes' names written down during the time of the Conquest (Caguax, Mayagua, Orocobis, etc.)
A great book in Spanish that has many other names that were written down in the cronicles is "Diccionario de Voces Indígenas de Puerto Rico" by Luis Hernandez Aquino. For example, Yguayus was the name of a worker that served on Mona Island in 1517. Another good source is Emiliano Tjeras "Palabras indigenas de la Isla de Santo Domingo." A more modern source is the "Diccionario Taino Ilustrado" by Edwin Miner Solá, published in 2002.