Since I have been clued in so faithfully here to the names of growing things, I have two more mystery plants to present.
#1. A house plant.
This specimen grew out of a pot with a variety of plants in it. For some reason, the stem was crushed or just quit drinking, and the leaves began to shrivel. I removed the new growth and cut off the crushed part of the stem. It's been in a glass of water for a few days now and looks like this. But I'd like to promote root growth so I can re-pot the plant. If I knew the kind of plant this is, I could do some care and feeding research.
#2. A volunteer tree.
Through Freecycle, we were allowed to dig up chunks of Periwinkle one summer. I planted them in a big, wooden pot so, as they grew, they'd cascade over the side. Well, they died. In their place sprouted this tree. It's two or three years old, getting bigger while I was too preoccupied to pay it much mind. It's almost four feet tall now.