Looks like Honeysuckle to me from your pic. Did it have a great smell? If it were I wouldn't pull it, but thats your choice...why is it in the way? It will take pruning well and comes back if you ned to tame it. Gill. Oh....PS. If the other plant is a Cordyline, yes they do flower, of sorts, in huge sprays of insignificant flowers that turn into tiny berries, the plant then usually branches. Here is a link that might be useful: honeysuckle pics

I agree, thai basil or another O. basilicum basil like cinnamon basil that has green leaves and red stems. Wonderful stuff in the kitchen! FataMorgana

Thank you weedwoman,that was the only thing holding me back from a positive ID!I figured that the sap wouldnt be present right now,but had to be sure! It seems maybe my question wasnt so stupid after all!I love this forum,I look through all the threads and I learn so much from other peoples questions!You guys are the best!~Angie

There is a alba maypop incarnata,which looks a lot like yours. I have some dark ones and light ones,almost white as well. Don