Which Alice?

ALICE IN PUZZLE-LAND
"Yes," replied Alice, who was keeping count.
"Then the coach went on, made another stop, and three passengers
got off. Are you following?"
"Yes," said Alice, who was still faithfully keeping count.
"Then the coach went on, made another stop, and two passengers
got off and two passengers got on."
"That's the same as if the coach hadn't stopped at all!" exclaimed
Alice.
"I wish you wouldn't keep interrupting me!" exclaimed the Red
Queen. "It only puts me out!"
"I haven't kept interrupting you," replied Alice (who is very
logical). "I've interrupted you only once, and one must interrupt
someone at least twice before he can be said to keep interrupting
him."
"True," replied the Queen, "but I'm giving this examination,
child, not you!
"Anyway," continued the Queen, "the coach went on, made
another stop, and three people got off and five got on. Are you still
keeping count?"
"Yes, I am," replied Alice.
"Then the coach arrived in Harwich and all the passengers got
off. How many times did the coach stop?"
6