One character suggests the crow was trying to warn the man. Another posits the bird was bringing the sleeper to the tiger's attention so it could enjoy the scraps after the meal.
But also, on a tangent, there is a bird that does this kind of non-conspecific alarm calling the time as part of its food-gathering strategy: the African fork-tailed drongo.
The drongo gives true alarm calls to food-rival species nearby, to tell them when it has spotted a mutual predator. This leads to these food-rival species coming to rely on these signals. But then, every once in a while, it gives a false alarm, to get the food-rivals to run away for a bit, so it can nab the bugs/berries/etc that the rival would have been eating.
In fact, there is a family of such birds, the honeywarblers, who locate beehives, then find humans and lead them to the beehives.
Wikipedia says that the behavior is dying out because there aren't enough human foragers.
Don't want to spoil. It's nice and short and a must-read for cat lovers. "The Price".
An inverted Schrödinger cat.