CurtC
Illuminator
There were two planes. A Military C130 was diverted minutes after the impact to see what they could see. This caused another panic on the ground but the plane was much higher (video exists of this).
There was a third plane which showed up later, and I think it's the one that caused the panic on the ground that you refer to. It was one of those electronic command center planes that was circling the DC area way up high.
The C130 flew by immediately after AA77 crashed, so wouldn't have been the one to cause any bystander reaction (the bystanders hadn't arrived yet).