Condoleezza

Con Dolcezza is not a musical term (though it does mean "with sweetness"). Whoever gave that information is very mistaken.

As far as a I can find, there is no musical notation 'con dolcezza' or anything similar. The only references that occur on the internet if you search with this term are for pages discussing Condoleezza Rice's name.

"Dolcezza" certainly does mean "sweetness" in Italian, and it didn't take much Googling for me to find references to it used in regard to the sound of musical instruments. "Con dolcezza" may not be one of the more common musical terms, but I see no reason that it couldn't have been found by Ms. Rice's parents as a musical instruction on a particular piece.