Can you give me a source which will have the names and addresses of
schools both private and publi in Rome, Italy?

Dear baird37,

The Italian Ministry of Education maintains an online database of all
Italian schools, both public and private.

Follow this link to search for public schools:
http://www.istruzione.it/anagrafica_scuole/statali.shtml

Follow this link to search for private schools:
http://www.istruzione.it/anagrafica_scuole/nonstatali.shtml

Enter the following values to search for schools in Rome:
Provincia [Province] - "Roma" (in the 'Lazio' section)
Comune [Municipality] - "Roma"
Tipologia [School Type] - Choose among the different types of schools
in the Italian education system; choose "(Tutte)" for all school
types. For example, at the end of the pulldown-list, scuola primaria
and scuola secondaria stand for the approximate counterparts of
elementary school and secondary school.
Do not use the last two fields. Click the "Cerca" [Search] button, and
you will get a list of public schools with their names, addresses and
telephone numbers. The "avanti" link at the end of each results page
means "advance".

Hope this is what you were looking for!
Regards,
Scriptor

It is my own lack of experience not yours but I hope you can help me. AB

try also this site http://www.romexplorer.com/schools.html