No, I did not try that. When I changed the belt, my daughter had only reported the noise but she could not explain when it occurred. And of course, she was not there when I went to work on her car. I could not find the noise and never thought to stick the car in drive while holding down on the brake. So I just changed out the belt since I know it sometime causes a chirping noise but always quites after a new quality belt is installed. It was only after later driving the car with my daughter that I actually discovered the noise she described. If you think best, XXXXX XXXXX remove the belt and see if the noise remains. But it will be tomorrow since my teenage daughter is already gone again in the car. I can respond with the results. Just let me know.
BTW, the car has approx. 150,000 miles on it. We bought it for my wife in 2006 with 20,000 on it. It's been well cared for. Other than the common drive belt issue, this is the first real concern with the Corolla.
You are going to laugh out loud.
I decided the noise was a vibration that started when the engine physically shifted under load. While inspecting the motor mounts, I found, to my surprise, a hammer wedged between the transmission and the cab. It was transferring the vibration from the engine/trans to the car's interior. Hah!. This is a hammer I had used several weeks ago while installing a new battery in the car. I should have inventoried my tools after the job. I'm a big dumb but happy fool today. Problem is solved though it was all my own fault to start with.