After a little digging, I found the source for their charcoal. It's a Texas company called Barbecue Wood Flavors. No indication on their site where it can be purchased, or whether Weber's version is somehow special, but here's the link:
http://www.bbqwf.com/briquets-2/Notable is this bit of history from the site:
Barbeque Wood Flavors was started in 1984, under the name of Bloomfield Farms and was the first fully integrated, high speed chip and chunk processing system in the U.S. with a year around uniform product capability.
It was sold to George Wartsbaugh in 1986 and then to Weber-Stephen Products that same year. The name was changed to Barbeque Wood Flavors after the Weber-Stephen purchase. In 1992, the company was sold back to George Wartsbaugh and in 1994, Barbeque Wood Flavors acquired Flying W Wood Products, which was also one of the three original wood producers in the United States.
The bag on the right is what they had at the restaurant, NOT the instant light crap!