So you should first search for documents from Italy, birth act and marriage act and also death act of the wife. If she was in life in 1909 the husband couldnot marty again

However if you know tjat your GF was married in Italy a new marriage was possible only if the first wife died before, because there was not divorce in Italy at that time.

An expert on this forum said that often declarations made by immigrants were not the truth, there were no real verification, so it is probable that the marriage of 1909 was not existing nor as civil nor in a church. Probably they declared to be married in all following censuses.

What happened in 1922? The law you cited doesn't refer to citizenship.

The person was exempted from the payment of a tax on the birth certificate necessary for the marriage.

From where came the birth year 1834?

The request may be made directly to the parish, if you need to ask citizenship must be legalized by the diocese, otherwise you may ask a copy of the register and a certificate by e-mail (it may be difficult to get replies from the parishes).

December pag. 140-on

Verify it it's this
https://www.familysearch.org/ark:/61903 ... cc=1483052

Usually the registers of a comune/period are on Antenati or Family Search, not on both.
For Muro Lucano 1810-1860 on Antenati ; 1866-1908 on Family Search https://www.familysearch.org/ark:/61903 ... cc=1483052

I send you a PM

If you want to present the church act because it's more detailed that the civil it is ok, as said ask a "copia conforme" to the parish, and then try to ask a legalization of the signature of the pastor to the Diocese. In other Countries it is made so.
For apostille and translation look at the ...

You say the church doesn't give certificates, what do you mean?
What have they given? A photocopy of the register? ("copia integrale")
If the church put a stamp that it is compliant to the original and signed by the pastor it's OK
but the parish should give a certificate ("extract") with only the ...

You say the church doesn't give cettificates, what do you mean?
What have you given? A photocopy of the register? ("copia integrale")
If the church put a stamp that it is conform to the original and signed by the pastor it's OK
but the parish should give a certificate ("extract") with only the data ...

You should read the details given on the website of the consulate of your area.
Are you saying that there was not a civil register at that town /time or you want to have both certificates?

In general (I refer to other Countries, not to the US) it is requested a birth certificate of the civil ...

I don't understand which witnesses the parish may ask.
In that age (1843) in the Kingdom of Sardinia the registers were written by the priest, but also as a civil official, they were in 3 copies, for the parish, the diocese and the comune, it seems not all survived, in the diocese of Genova it seems ...