Every baby is different. Even if your 3yo didn't do it, the the baby will still do what she wants. Some babies like to keep different schedules and may "cluster feed" and then sleep for a long time. As long as she is getting enough sleep, then there is no reason to worry. Some babies just love the closeness. You can also try using a pacifier and holding her close to your skin if you don't think she is really hungry.
Also, she may like nursing because she is gassy. In this case, she shouldn't be eating, because putting more food on a gassy tummy will make it worse. If she is generally happy otherwise, then you can rule this out. Baby gas drops or gripe water can help.
Babies can also go through growth spurts. At this time you will feel like the baby is always nursing and sleeping. This is ok too.
The only other problem might be that your milk supply is suddenly not keeping up with her demands for some reason. She is plump, but if you haven't kept up with 30 minute intervals (which is very hard to do) then she might not be getting what she wants. You might want to check her weight regularly, since it is impossible to know exactly how much milk she is actually getting while she is nursing, and weight would be the indicative factor.
Good luck, and congrats on your little one