hmmmm did you hit the 4th bell? she shouldn't be after other students for any other reason, other than a breif period when she gets a lil too hungry, 4th bell is game over time you can't pick up anything while she's running, also once the 4th bell goes off she will remain in that state until her belly is full(yes it does mean she will gobble up as many students as she can fit too even when you are already inside)
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I'm sure it wasn't after the fourth bell. She ate the other kid, digested completely and was patrolling as normal with a completely flat belly. I also could not drop items at all from my inventory, because that normally gets locked out while being chased to prevent you from just dropping keys before they're eaten.