brisket is a cut of beef (from the underbelly, i believe). corned beef is typically make with a brisket. but brisket that is not corned is also delicious - it can be marinated and slow cooked or smoked (bbq'd), as i'm guessing was the case at Weber's. BBQ brisket is very popular in Texas.

The last time I ate at Weber's was 15+ years ago, so I can't add much.