Well, I just spoke to my vet on the phone and emailed her the photos (she loves gardening and plants, so I figured she knows that plant). With her help, I found out the name of that plant is ceropegia woodii, aka string of hearts. She said, as far as she knows, this plant isn't toxic, at least it's not one of the "real bad ones" like ivy or lilies.

I once had a very informative website with a toxic plant databasa bookmarked, but I lost it when I had the computer crash.

However, I think Lily is on the safe side, but this girl always keeps me busy!!!

Kirsten