Question: Who was born first, Ixtlilxochitl II or Moctezuma II?

Context paragraphs:
Ixtlilxochitl II: Ixtlilxochitl II (c. 1500–c. 1550) was the son of Nezahualpilli, king of Texcoco.  In 1516 Nezahualpilli died, and the succession was contested by two of his sons, Cacamatzin and Ixtlilxochitl.  The former was supported by Moctezuma II, emperor of Mexico, but the latter, appealing to the patriotic sentiment of his nation, would have persuaded them that his brother was too much in the Mexican interest to be true to his own country.  A civil war ensued, and ended by a compromise, by which one half of the kingdom, with the capital, remained to Cacamatzin and the northern part to his brother.  Ixtlilxochitl became from that time the enemy of Montezuma.

Leonor Cortés Moctezuma: Doña Leonor Cortés Moctezuma (born c. 1528 – before 1594) was the out of wedlock daughter of Hernán Cortés, conquistador of Mexico, and Doña Isabel Moctezuma the eldest daughter of the Aztec Emperor Moctezuma II.  She was acknowledged by her father and married Juan de Tolosa, one of the discoverers of the silver mines in Zacatecas.

Casas Nuevas de Moctezuma: Casas Nuevas de Moctezuma (English: New Houses of Moctezuma ) is the name of a pre-hispanic residential complex composed of five interconnected palaces with large platforms.  The complex served as the royal palace and chambers of Tenochtitlan's ninth tlatoani Moctezuma II, who was the Aztec leader during the arrival of Hernán Cortés.

Isabel de Tolosa Cortés de Moctezuma: Dona Isabel de Tolosa Cortés de Moctezuma (1568- 1619/1620), was a wealthy Mexican heiress and the wife of conqueror and explorer Don Juan de Oñate who led an expedition in 1598 and founded the first Spanish settlement in what is now the state of New Mexico.  She was the granddaughter of Spanish explorer and conquistador Hernán Cortés, and the great-granddaughter of Aztec Emperor Moctezuma II.

Montezuma's headdress: Moctezuma's headdress is a featherwork crown (Nahuatl: "quetzalāpanecayōtl" ] ) which tradition holds belonged to Moctezuma II, the Aztec emperor at the time of the Spanish Conquest.  However, its provenance is uncertain, and even its identity as a headdress has been questioned.  It is made of quetzal and other feathers with sewn-on gold detailing.  It is now in the Museum of Ethnology, Vienna, and is a source of dispute between Austria and Mexico, as no similar pieces remain in Mexico.  Restoration efforts reignited this dispute in 2012.

Moctezuma II: Moctezuma II (c. 1466 – 29 June 1520), variant spellings include Montezuma, Moteuczoma, Motecuhzoma and referred to in full by early Nahuatl texts as Motecuhzoma Xocoyotzin ("Moctezuma the Young",    ), was the ninth "tlatoani" or ruler of Tenochtitlan, reigning from 1502 to 1520.  The first contact between indigenous civilizations of Mesoamerica and Europeans took place during his reign, and he was killed during the initial stages of the Spanish conquest of Mexico, when conquistador Hernán Cortés and his men fought to escape from the Aztec capital Tenochtitlan.

Fernando Alvarado Tezozómoc: Fernando or Hernando (de) Alvarado Tezozómoc was a colonial Nahua noble.  A son of Diego de Alvarado Huanitzin (governor of Tenochtitlan) and Francisca de Moctezuma (a daughter of Moctezuma II), Tezozómoc worked as an interpreter for the Real Audiencia.  Today he is known for the "Crónica Mexicayotl", a Nahuatl-language history.

Pedro Moctezuma: Don Pedro (de) Moctezuma Tlacahuepan Ihualicahuaca was a son of the Aztec emperor Moctezuma II and María Miyahuaxochtzin, the daughter of Ixtlilcuecahuacatzin, ruler of Tollan.

Isabel Moctezuma: Doña Isabel Moctezuma (born Tecuichpoch Ixcaxochitzin; 1509/1510 – 1550/1551) was a daughter of the Aztec ruler Moctezuma II.  She was the consort of the Aztec emperors Cuitláhuac and Cuauhtémoc and as such the last Aztec empress.  After the Spanish conquest, Doña Isabel was recognized as Moctezuma's legitimate heir, and became one of the Mexican Indians granted an "encomienda."  Among the others were her half-sister Marina (or Leonor) Moctezuma, and Juan Sánchez, an Indian governor in Oaxaca.

Duke of Moctezuma de Tultengo: Duke of Moctezuma de Tultengo (Spanish: "Duque de Moctezuma de Tultengo" ) is a hereditary title of Spanish nobility held by a line of descendants of Emperor Moctezuma II, the ninth "Tlatoani", or ruler, of Tenochtitlan.  Since 1766, the title has been attached to a "Grandeza de España", or a place in the Spanish peerage — the highest honor accorded to Spanish nobility (see also Mexican nobility).

Supporting paragraphs: Ixtlilxochitl II Moctezuma II
Answer: Moctezuma II