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!

How much sun does this plant get? While I do not know the exact name of yours but I'm sure between the comments above and more to come that you'll find out sooner or later. I agree that it is a Sedum. The main problem with your plant is lack of proper sunlight. Just EASE it into more and more sun until it has the amount of sunlight that is recommended. I think this plant has potential to have a strong comeback if you take good care of it. As I've learned with my other plants, all succulents need the same care in 2 basic areas...most importantly a pot with a drainage hole and proper soil that drains fast while still providing enough water AND (as I stated above) proper amounts of sunlight. Most succulents don't like to have wet 'feet' so the main thing to watch out for is rotting from soil that stays too moist. After you know exactly what it is then you'll be able to find out where the plant naturally lives and then you can change the soil to accommodate the conditions such as your temperature and humidity and such. Good luck!

Looks sort of like Myrtillocactus geometrizans (crested version), but my batting average on IDs has been real bad lately.

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 :)