so, autotraining classes are just like regular classes. meaning that, if for some reason, your autotraining end-event triggers early (which i thought was fixed a while ago, actually), but your pet is still finishing up its last session, it'll look like a normal class on the autotraining page. this is nothing to be alarmed about.
additionally, your pet is actually in autotraining for a specific number of sessions, not a specific amount of time. so you're getting all of the classes you paid for, even if it finishes early, i promise.
it sounds like what is happening is we're having double loading crons, which are putting your pets into two sessions at once. i'll look into it and see if i can figure out why. in the meantime, take solace in the fact that this actually means you're getting an extra one for free. :)
but the cron is double-running, meaning she was in two classes concurrently, doing four classes in the time it should have taken to do two. the "third" was actually a fifth.
sorry we're definitely working on it :P