We figured out what this PLANT is called -- or shall we say what this INVASIVE WEED is called.
It is Cypress Spurge -- commonly called Graveyard Weed. It has quite a story, likely originating in China and then brought from Europe in the 1860s as an ornamental plant. Since then it has ruined pastures nation wide -- it is toxic to cows and horses.
So --- when we clear the Ivy out of this particular flower bed, we will also clear out the Cypress Spurge as well.