I'm very new to succulent identification, but it looks like an echeveria to me. The only dark colored one I know of is black Prince but I don't think that's it. Hopefully someone with more experience can give their opinion as well.

Be careful not to overwater. Make sure they get plenty of light. In the first pic, the soil looks very dark. Is it wet? As for the last one, when you water it, take it out of the outer pot and let it completely drip off dry before putting it back (like an hour or more). Nice plants. Nice Mom!

Thank you! I've just picked them up, so I haven't had much time to accommodate them, as I know they are growing a little big for their pot! I only live in the UK, so not much sun here, I'm afraid, but I do have a UV setup. Thanks for all the help! Edit: How do you know that the soil is the wrong type? Are there any indicators I should look out for? Thanks again!

Sempervivums are very difficult to ID, there are more than 50 species and thousands cultivars, with many looking very similar. Exact name of the cultivar really doesn't matter that much as far as their needs: they are really same. When plant is not healthy, or grown under not-so-good conditions, they may, and often do, different than they should and that's another problem to ID it correctly. Kirby I don't see you mentioning your general location or growing zone? Sempervivums are very hardy plants, most of them will overwinter outdoors, under the snow, in z4 and many even lower. So unless you are in colder location, they could and should be grown outdoors. Proper pots are much more important than one may think. I would encourage you to repot plants that are in containers that do not have drainage holes. You don't even need to buy pots - plastic containers from cottage cheese or yogurt will work as long as you poke holes in it - a thin nail or straight pin works very well. Many small holes around bottom are great. Use opaque containers, as see-through will encourage growth of algae (more of a aesthetic problem, it will not kill your plants). I hope you do not think that we are preaching to you - all members here are quite enthusiastic about succulents; everyone that posted wanted to offer some helpful tips. We do get carried away - as soon as any of us see a problem, we comment even if you didn't ask about it (potting mix and drainage holes in this case...). It is all meant well and to help - otherwise none of us would waste time on reading and replaying :)