Identification: A little help with our greenhouse inventory please...

I've recently taken it upon myself to take over the small conservatory at the university where I work. I'm the lab manager for the biology dept. and am fairly familiar with many of the plants but there are a couple that have me completely stumped. They were donations that were almost dead when I got hold of them and thankfully, with a lot of attention, they are now vining like crazy. My assistant has lovingly dubbed them "turd" plants because of the shape of the base.
Here's my webshots url for their photo album. A couple are sideways unfortunately because I was in too much of a hurry to correct them...oops.
http://home-and-garden.webshots.com/album/556806644CwxORh
Thanks for any help you can give.

 

hello biochic

could possibly be adenium? (desert rose)

http://www.cactus-mall.com/andre/index.html

 

The one could definitely be that. The other two have vines and don't branch like that. They remind me more of my Madagascar Jasmine, but the base doesn't look like a jasmine. Thanks for the reply!