Italian wedding song is in the same tradition or not 

Wrong occasion to start with. Second, it only shares a partridge (sans pear tree) and possibly two turtle doves (we don't have the Italian text for that) and somehow a bride and true love are equated. The remainder differ both in quantity (10 vs 12) and nature (we seem to be dealing with domesticated animals and not game birds and items that signify nobility). What we need is a musicologist equating the two traditions, not just a reference to the Italian text.