Thanks for the help, everybody. I reposted this thread with pictures of the flowers in the Name this Plant forum. I'm sorry the pictures aren't ideal. This plant is somehow hard to capture with a phone camera. Here's the new thread: http://forums2.gardenweb.com/discussions/3251535/m=23/please-help-id-this-plant-coffee-plant

“But didn't want to seem too needy.“ Not to worry about that, Joe. For those of us who hang out here, plant ID is fun (not that I am personally of any use with Florida plants). We just ask that you not include more than one or two kinds of plants per thread.

Cynthia, as Tyler above points out, it's reverting to normal growth. It can easily be grown on its own roots, but was likely grafted to accelerate its growing (which it has done splendidly). Be careful of this plant's sap - depending on your sensitivity, it can be an irritant or worse to skin, and definitely keep it away from all mucous membranes, If you're going to trim it for cuttings (or to take the load off of that graft), have some warmish water to daub the cuts in - that will slow down the milky latex bleeding.

I believe it to be Epiphyllum oxypetalum aka Queen of the Night. These are tropical type cactus so do not treat like a cactus from a dry environment. Here’s some info.