@gardencat Hi Joanne. This is from one of the gardens on campus. My plant ID app says that it's Orpine (aka witch's moneybags, garden stonecrop, livelong, midsummer-men) Quite the selection of names :)
I have heard before that Stonecrop is another name for sedum but the other ones you mention I hadn't heard of before. I did a little more research and found out that there are two different types of sedum low growing which is often used as a ground cover and tall, or upright sedum, which is more of a plant that grows in a clump and reaches a height of 7" or taller. Mine is the tall kind.