Luiz Antônio Fagundesand Romana Cardoso Fagundes (+ - 1835) came from Azores to São Francisco de Assis, a small city the south of Brazil, in the State where I live (but I live in the capital – Porto Alegre).
Their son, Onofre Santos Fagundes, married EuláliaFagundes. They hadseveral children, one was AtalibaFagundes.
Ataliba Fagundes married Conceição Vargas Fagundes. My grandmother, Graziela Fagundes Martins, is their daughter.
About your question ofPetrópolis, it is not near to the place I live. To show you about the distance, it takes about 1 hour and 30 minutes, to get there by plane, from my city.
Petrópolis is a very beautiful city in the State of Rio de Janeiro, next to the city of Rio de Janeiro. Petrópolis is on the hills and is famous because at the time of our independence, the family of the King had a farm there, which is a museum now.
So, if we are from the same family, our common relative lived in Azores, or maybe Portugal, or Madeira Island, or in another place, not in Brazil.
I´ll send you ane-mail (to your personal account) with some pictures ofPetrópolis, and a map of Brazil to show you where is the city where your relatives lived, and where is my city.
Sorry for my poor English. By the way, do you understand Portuguese? At least you know the right way to write Açores.