While you are in Providence do not miss the trip up College Hill to the Brown University Campus. Walk around University Hall built in 1766 (approx) look for the corner on the right when facing it from the Green and you will see where the Red Coats broke out the bricks to stable their horses during the Revolutionary War. School was founded in 1764. Get a local map of Benefit Street to see the homes of some of the famous Rev War era individuals.
Don't miss the River Fire if you can find when it is scheduled - When I was in School at Brown we didn't know there was a river there! it was decked over.
