Here's another way you could have found it. This might be easier.
Search for euphorbia. You'll arrive at this page:
http://garden.org/plants/searc...
Click on the link to view all plants in the genus. You'll arrive at this page:
http://garden.org/plants/brows...
Click on "P" at the top of the page (because your cultivar name begins with "P"). You'll arrive at an alphabetical listing of every Euphorbia cultivar beginning with the letter "P," including Pick Me Pink:
http://garden.org/plants/brows...
As for the absence of the species name and of Poinsettia as a common name, this is a comparatively young database and it's a group effort. No one has added Poinsettia as one of the common names of this plant, but you can do that by submitting a proposal to edit the plant name. Ordinarily, you could also add the species name to the entry by submitting a proposal to edit the plant name, but 'Pick Me Pink' is a hybrid of E. pulcherrima and another species, so this would be wrong in this case.