Thanks much, you all!
Caroline, I think you got it right; some species of Lamiastrum. I just need to pick a piece off and compare leaf pattern and shape. That plant was a weed in the back yard when we bought the house but I loved the foliage (apologize to say this, but I'm not that much of a flower fan; I buy for foliage). So it got incorporated into the planter for its interesting foliage pattern and viney nature.
As to that light green tall plant...I should have known better than to post a picture and not know exactly every single plant species in the container; I will have to double think next time before posting {my head will hurt...
}...BUT I scanned thru many Google fern images and came up with best guess: Brake Fern. If anybody can verify my guess or correct me, please do!
Here's pics:
