Alfredo Perini, as you said, was a foundling.
The midwife Luigia Ronconi, 28 years old, declared the birth. The baby was born on Oct 31st, 1903 in a home situated in via del Giardino. The mother was "a woman who doesn't want to be mentioned". The midwife gave the baby personal name Alfredo and ...

Here it is to you:

https://antenati.cultura.gov.it/ark:/12 ... 61/wjpm7j7

You might try on some Facebook group of the town.
My guess is that people still use such toponym, though it's not shown in official maps.
I'm sure you'll find it, if you go there and ask.

Lucia Valente:
record date: Apr 17, 1905
declarant: Maria Albanese, 50 years old, midwife
Baby born on the same day at 4am, in a home at 3, via Santa Croce
Mother: Rosa Modugno, housewife, wife of Angelantonio Valente, 53 years old, sailor, both residing in this town.
Side note: on Nov 10, 1928 ...

The picture is of poor quality, but after the name "Josephum" it might read "parentib. incog." = "parentibus incognitis" = "unknown parents".
Vincenza's parents were Gaetano ("Cajetani"), and Pasqua ("Paschae") Bellavia.
The first digit of the day seems to be "2", but I can't read if there's another ...

Italian surnames were not "formally" defined until about 1900.
I mean that there was no rule, it was only the use that "made" the surname.
One person could be mentioned, along his life, with different forms of the surname, even in the same document.
They were often even "declined". For instance if ...

I once researched a Terni family that was original of Garfagnana, province of Lucca.

You're welcome, Sharon!

Hello,
if this is the record:

https://www.familysearch.org/ark:/61903 ... 4501&i=165

The correct reading is "via Municipio", that would be the street where the Town Hall was located at that time.

This article exposes how the Italy is divided into subregions according to various criteria

https://it.wikipedia.org/wiki/Gruppi_di ... 20Sardegna.

"...da Piazza Angela casalinga moglie di Proietto Ignazio contadino entrambi residenti in questo Comune è nato un bambino di sesso femminile..."
"...to Angela Piazza, housewife, wife of Ignazio Proietto, peasant, both resident in this town, a female baby has been born..."

You're welcome, Rossonero!
I just want to point out that you can't contest anything, even if you wanted, because Italian law provides for what is called "usucapione": if you possess a real estate for more than 20 years with no contract and no request of payment by the owner, it becomes yours.

The Mayor might be Carmelo Careri.
I ask for others' help, but I read it was a female: maybe that was a clerical error? In the next sentence it reads "questa bambina" again, but then it says "bambino".
There were tattered and dirty clothes with him/her, that were left at the Office.
The declarant ...

My guess is that the change of surname concerns her father.
Maybe HE was adopted.

This is the birth record of Anna Proietto, on Mar 25, 1896, as marriage record says, too:

https://www.familysearch.org/ark:/61903/3:1:3QS7-8943-7SNV?cat=529842&i=263

The baptism you found is for another baby (mother is a different woman), whose birth record is here:

https://www.familysearch.org ...