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Joan (Juan) Angon sailed from Espana to Nuevo Espana on 1606-6-28
So I had the idea of inputting that date on the Pars website and then when the list of people came up, I filtered it on the left "archivo de indias," and I get the list of people that sailed on that date.
http://www.archivesportaleurope.net/web/guest
So I see list of people that sailed in the fleet of ships with Joan Angon. The first page of the pasajero at very top has the name of the ship starting out as "Nao (name of ship)."
I also did a search for "flota 1606" filtered by "archivo de indias" and get this list of ships:
Por el General Lope Diez De Armendariz::
“El Espiritu Santo” Maestre Esteban Falero
''La Magdalena de San Vicente'' Maestre Alonso Ramos
''Nuestra Señora de la Cinta'' Maestre Diego Franco
''Nuestra Señora de La Esperanza'' Maestre Juan De Medina
''Nuestra Señora de Loreto'' Maestre Gentil Basilio
''San Juan Bautista'' Maestre Juan De Argumedo
''San Miguel'' Maestre Domingo De Eguibar
''San Sebastián'' Maestre Luis Cestin
Joan Angon was most like the grandfather of my 11th generation grandmother "Maria De La Candelaria Angon (1655 - 1735) Mezquitic, Jalisco, Mexico. Who was married to my 11th generation grandfather Antonio Madera (1660 - 1709) Mezquitic, Jalisco, Mexico.
Joan Angon shows up in a Valparaiso, Zacatecas, Mexico census of 1648 as "viudo."
Supposedly he had a son name "Esteban Angon" where they lived at "Rancho De Joan De Angon" that is somewhere near Xerez, Zacatecas, Mexico and there is a whole archive in the familysearch.org as "Cofradia 1632 - 1700" of the pueblo of Huejuquilla El Alto, Jalisco, Mexico.
There was a Cofradia at the rancho of Joan de Angon where there would be yearly elections of the oficiales of the Cofradia. The Obispo of Guadalajara Juan Colomenero had visited the Cofradia of Joan de Angon in 1648 on page 14. I believe the name of the Cofradia was Cofradia de La Limpia Concepcion that was founded in the rancho of Joan Angon as it is stated on page 12. On page 21 it clearly gives the name of the Cofradia. On page 22 it gives the name of a Capitan of Mezquitic.
List of people that sailed
There were many more ships on the 1606 flota:
https://todoavante.es/index.php?title=1606_-_Flota_de_Nueva_Espa%C3%B1a
List of people that sailed
Enter this reference number in the pars website and it gives a list of pasajeros de traveled in 1606 and Juan Angon is there on page 5:
CONTRATACION,5295
http://www.archivesportaleurope.net/web/guest