The older gentleman wearing sunglasses and playing acoustic is Scotty Wray. His younger brother is country singer Collin Raye who had a string of hits in the 90's. They are from around here and my mom and dad were in a band with them back in the late 70's. It was called the Wray Brothers Band. Even back then it was obvious they were a whole level above your average local players.
I remember them having band practice in our living once and I was just enthralled watching them play. It was the first time I had ever gotten to see a live band perform other than on TV. I was about 6 or 7 years old. After that I was completely hooked.......and I'm still playing in live bands at the age of 47.
Her music has always been drum friendly going back to her first album. I have the show recorded along and have watched it several times. Also i think I read that PBS has all the Austin City Limits shows free for streaming right now