I honestly have no idea what they are, and a friend who's good with plants doubted that they were even carnivorous. they don't look like any CP I know of. Can anyone help me out here? Also, what might that white stuff be? I think it's spider web but I can't be entirely sure.
Neither are carnivorous plants - really just weeds. The plant in the first photo I've heard called "Confederate Fern" though it isn't a true fern of course, just looks somewhat ferny as it gets larger. In orchid and tropical plant greenhouses, it can be a noxious pest, so never allow it to reach flowering size if you have a greenhouse or live in a frost free area - you'll be sorry!
The plant on the first photo resembles almost perfectly a real big pest here in my country, it makes a big root system and when taken out it brings all the soil with it. It makes huge amounts of seed from flowers almost under any leaf pair, really tiny flowers, almost the size of a drosera seed. Even so, when grown on a separate pot it can be like a tiny bonsai tree shape, and may be a pretty plant, so, you can either conserve it or take it away, Here I show some of them growing below a pot colonized by D. capensis, a güitite tree and this plant (you can see it behind the capensis plants).