We discussed this in the chat. Dessert is an important issue to me. I just did a bunch of research to verify all this.
Italian ice and sorbet are made the same way as ice cream, but with different ingredients. Italian ice is for slobs and is made with syrup or lower quality puree; sorbet is for snobs and is made with higher quality stuff. They are basically the same thing.
Sherbet has a small amount of dairy, while sorbet has none. It is basically low dairy, high fruit ice cream. People and even reference books often confuse the two, but it’s a useful distinction.
Snow cones are shaved ice with flavoring added. Some places will call snow cones "Italian ice," if you ever see someone doing this, overturn his cart and pour flavor syrup on his head.
Italian ice is called "water ice" within the borders of Philadelphia. I’ve never seen it called that in NJ (maybe in the Cherry Hill area or south Jersey?) and it’s called "Italian ice" by the time you get to New Hope.
Sherbet is called "sherbert" in some places.
"Schubert dip" is an EMF album.