Rush drummer and lyricist Neil Peart made several attempts to contact Foster during the recording of Moving Pictures but Road & Track did not have an up-to-date address and Rush were forced to settle for a brief "inspired by" note in the lyric sheet mentioning the story. In July 2007, Foster and Peart finally made contact with each other. Foster later posted on his website an account of their journey by motorcycle through the backwoods of West Virginia between stops on Rush's 2007 Snakes & Arrows Tour.
Barchetta, literally "small boat" in Italian, is the diminutive form of barca ("boat" or "craft"). In the automotive industry, the term is used for a two-seat car without any kind of roof.
Here’s Red Barchetta being performed on the Snakes & Arrows tour (I saw one of the shows from that tour):
https://www.youtube.com/watch?v=s-LMrL2-8OA