Mandy's Famous Peach Sorbet

Now, I'm not sure if this is more of a sorbet or a granita, so we could be looking at Mandy's Famous Peach Granita here.  Does anyone know?

One of the best things about living in Georgia is the peaches.  (Oh, you thought I was going to say "boastful ignorance"?  No, that's actually one of the worst things about living in Georgia.)  Duh, right?  I know, I know.  But seriously, the peaches are out of control.  And there's this little florist/produce stand not far from our house that Ann told me about where they sell the best peaches for $1/pound.  Mmmmmmmmmmmm.  Last year we tried grilling peaches (um, delicious!), and this year I'm making frozen peach treats.

This is what I made yesterday.  I'm trying to cut down on the amount of sugar that I put in these desserts, while still making something tasty and refreshing.  Since these peaches were already so sweet and packed with flavor, I put in only a tiny bit of sugar.  Success!  It's a little sweet and a little tart, and it's light and refreshing--perfect for these hot, hot, hot summer days.

Mandy's Famous Peach Sorbet/Granita

6-8 peaches, peeled and sliced
1-2 teaspoons of sugar
juice from one lemon

1.  Combine all ingredients in a bowl.  Allow to sit for 30-60 minutes to juicify.  (Isn't there a word for that?)
2. Puree ingredients in a food processor.
3.  Put in ice cream maker and freeze according to manufacturer's instructions. 
4.  Place sorbet/granita in freezer to solidify.