Correct. Tasers fires darts into the victim, while stun gun must make contact. I'm assuming from the duration of the shocks that they were not firing taser darts into her. I might be wrong, though.
Cordially,
Tasers can be used either by firing the probes, contact tasing without the probe cartridge attached, or a combination of the two.
A stun gun just has two contacts that a person places against you and zaps you.
Correct. You can't safely use the Taser from such close proximity. It was a stun gun, which is nothing next to a Taser. I have a stun gun and have stunned myself briefly. Not a big deal.