The Poppy in the photo is definitely a perennial, probably an Orientale. If you want to transplant, be prepared to dig for a long taproot and transplant in moist soil quickly. Keep moist for a couple of weeks. The plant will sulk big time, but should recover. To help it you may want to cut the blooms/pods off so they don't take too much energy from the plant, and cut back some of the longer leaves. I take my chances at transplanting these and succeed about 7 out of 10 times. Well worth the effort to try. :O)

a lady brought it to me at the greenhouse, said she was tired of taking care of it. I love it, but don't know what it is. it's easy to take care of though! it's in a hanging basket now and it's starting to trail over the side.

Gorgeous Rena! @latcherlucy15 I found this about it blooming: "Although this plant can flower within its natural habitat, producing fuzzy, bell-shaped flowers in spring and summer – it is rare to see flowers bloom indoors, so it is grown for primarily its foliage within homes or offices." Doesn't really explain why (and I've never had one to do it) but thought it might help. :)

Looks like Convolvulus arvensis, Field Bindweed.