Emmy, Processetti is like winning the lottery in terms of documents! It is the same as Allegatti. See the definition from a website:
processetti matrimoniali: documents required by the
civil authority for marriage (also called
allegati): birth certificates (atti di nascita) of
the spouses (and for when weddings took place only
at church: proof of baptism); death certificates
of deceased parents (atti di morte) (and when a
father was deceased, also the death certificate of
his father), since people, regardless of their
age, could not marry without parental consent;
summary of the marriage banns (pubblicazioni) with
testimony that they had been posted for the period
required by law; and for when weddings took place
only at church: a notation (indicazione) by the
parish priest that the wedding had taken place.
The decision of a Consiglio di famiglia also
belongs among the processetti.
Here is the website I took that from.
CLICK HERE
It is a great resource.
I hope that helps.