I waited for about an hour after "Hello Dolly" in Cleveland and she didn't come out through the Palace Theatre's stage door.
Cleveland can be hit-and-miss when trying to seek out an autograph or photo, since PlayhouseSquare is a theater complex spanning the better portion of a city block. It's all inter-connected, and the actual stage doors of the two main touring houses are located in awkward spots, out of the way on a side street and in the rear. A lot of actors blend in with the crowd, entering and exiting through the front doors of the theaters, directly on Euclid Avenue.
A video Betty posted on her Instagram a few days after she'd left Cleveland revealed that she exited through the State Theatre's stage door, in the rear of the complex. You might have better luck if she's performing in a theater that stands on its own.
I saw her perform a cabaret concert in Pittsburgh in 2011, and she signed CDs at a table in the lobby afterwards. She was incredibly kind and gracious, spending time with each person, and she allowed people to take photos WITH her. (A man who attempted to take a few candid photos of Betty signing for others was quickly stopped by an assistant).
"I'm seeing the LuPone in Key West later this week. I'm hoping for great vocals and some sort of insane breakdown..." - BenjaminNicholas2